Cube of $\big(\frac{-1}{4}\big)$ is:
- A$\frac{-1}{12}$
- B$\frac{1}{16}$
- C$\frac{-1}{64}$
- ✓$\frac{1}{64}$
Answer: D.
View full solution →Question types
Exponents and Powers question types
162 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
162
Questions
5
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
19 Q→021 Marks Question
99 Q→032 Marks Questions
22 Q→045 Marks Questions
5 Q→053 Marks Question
17 Q→Sample Questions
Exponents and Powers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
For a non-zero rational number $x, x^8 \div x^2$ is equal to:
- A$x^4$
- ✓$x^6$
- C$x^{10}$
- D$x^{16}$
Answer: B.
View full solution →Which of the follwing is equal to $1$?
- A$2^\circ + 3^\circ + 4^\circ $
- ✓$2^\circ \times 3^\circ \times 4^\circ $
- C$(3^\circ - 2^\circ ) \times 4^\circ $
- D$(3^\circ - 2^\circ ) \times (3^\circ +2^\circ)$
Answer: B.
View full solution →In standard form, the number $829030000$ is written as $K \times 108$ where $K$ is equal to:
- A$82903$
- B$829.03$
- C$82.903$
- ✓$8.2903$
Answer: D.
View full solution →Which of the following is not equal to $\big(\frac{-5}{4}\big)^{4}$?
- A$\frac{(-5)^{4}}{4^{4}}$
- B$\frac{-5^{4}}{(4)^{4}}$
- ✓$-\frac{5^{4}}{4^{4}}$
- D$\big(-\frac{5}{4}\big)\times\big(-\frac{5}{4}\big)\times\big(-\frac{5}{4}\big)\times\big(-\frac{5}{4}\big)$
Answer: C.
View full solution →$\Big(\frac{-1}{4}\Big)^{3}\times\Big(\frac{-1}{4}\Big)=\Big(\frac{-1}{4}\Big)^{11}$
View full solution →$\frac{-3^{100}}{5}=\frac{-3^{100}}{-5^{100}}$
View full solution →Identify the greater number, in the following:
$2^9$ or $9^2$
View full solution →$2^9$ or $9^2$
Express the following in exponential form:
$3 \times 3 \times 3 \times a \times a \times a \times a$
View full solution →$3 \times 3 \times 3 \times a \times a \times a \times a$
Find the value of: $7^0$
View full solution →Life Science Application: The major components of human blood are red blood cells, white blood cells, platelets and plasma. A typical red blood cell has a diameter of approximately $7 \times 10^{-6}$ metres. A typical platelet has a diameter of approximately $2.33 \times 10^{-6}$ metre. Which has a greater diameter, a red blood cell or a platelet?
View full solution →Express following as a product of powers of their prime factors: $2025$
View full solution →Express the following numbers using exponential notations:$1024$
View full solution →What’s the error?
A student said that $\frac{3^{5}}{9^{5}}$ is the same as $\frac{1}{3}$ What mistake has the student made?
View full solution →A student said that $\frac{3^{5}}{9^{5}}$ is the same as $\frac{1}{3}$ What mistake has the student made?
Blubber: makes up $27$ per cent of a blue whale’s body weight. Deepak found the average weight of blue whales and used it to calculate the average weight of their blubber. He wrote the amount as $=2^2 \times 3^2 \times 5 \times 17 \mathrm{~kg}$
. Evaluate this amount.
View full solution →. Evaluate this amount.
Find the reciprocal of the rational number $\Big(\frac{1}{2}\Big)^{2}\div\Big(\frac{2}{3}\Big)^{3}$
View full solution →If $\frac{p}{q}=\Big(\frac{3}{2}\Big)^{2}\div\Big(\frac{9}{4}\Big)^{0}$ find the value of $\Big(\frac{\text{p}}{\text{q}}\Big)^{3}$
View full solution →In our own planet Earth, $361,419,000$ square kilometre of area is covered with water and $148,647,000$ square kilometre of area is covered by land. Find the approximate ratio of area covered with water to area covered by land by converting these numbers into scientific notation.
View full solution →Express the given information in Scientific notation (standard form) and then arrange them in ascending order of their size.
View full solution →| Deserts of the world | Area (in sq km) | |
| $1$ | Kalahari, South Africa | $932,400$ |
| $2$ | Thar, India | $199,430$ |
| $3$ | Gibson, Australia | $155,400$ |
| $4$ | Great Victoria, Australia | $647,500$ |
| $5$ | Sahara, North Africa | $8,598,800$ |
Find the value of n, where n is an integer and $2^{\text{n-5}}\times6^{\text{2n-4}}=\frac{1}{12^{4}\times2}$
View full solution →How many times of $30$ must be added together to get a sum equal to $30^7$?
View full solution →Evaluate: $\frac{3^{4}\times12^{3}\times36}{2^{5}\times6^{3}}$
View full solution →Evaluate: $\frac{7^{8}\text{a}^{10}\text{b}^{7}\text{c}^{12}}{7^{6}\text{a}^{8}\text{b}^{4}\text{c}^{12}}$
View full solution →Write the number of seconds in scientific notation.
View full solution →|
Unit
|
Value in Seconds
|
|
|
$1$
|
$1$ Minute
|
$60$
|
|
$2$
|
$1$ Hour
|
$3,600$
|
|
$3$
|
$1$ Day
|
$86,400$
|
|
$4$
|
$1$ Month
|
$2,600,000$
|
|
$5$
|
$1$ Year
|
$32,000,000$
|
|
$6$
|
$10$ Years
|
$3,20,000,000$
|
Evaluate: $\frac{6^{4}\times12^{3}\times36}{2^{5}\times36}$
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