Powers - Maharashtra Board STD 8 Maths Questions - Vidyadip

Question types

Powers question types

102 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

102

Questions

4

Question groups

5

Question types

2 Mark Question

3 Mark Question

MCQ

Solve The Following Question.1MARKS

Sample Questions

Powers questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 12 Mark Question2 Marks

Simplify:$\bigg[\Big(\frac{1}{3}\Big )^{-3}-\Big(\frac{1}{2}\Big)^{-3}\bigg]\div\Big(\frac{1}{4}\Big)^{-3}$

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Q 22 Mark Question2 Marks

Simplify:
$\Bigg[\bigg\{\Big (\frac{-1}{4}\Big)^2\bigg\}\Bigg ]^{-1}$

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Q 32 Mark Question2 Marks

Write the following numbers in the usual form:
$3.61492 \times 10^6$

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Q 42 Mark Question2 Marks

Find the values of the following.
$(2 ^{-1}\times4^{-1})\div2^{-2}$

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Q 52 Mark Question2 Marks

Simplify:
$(4^{-1}-5^{-1})^{-1}\div3^{-1}$

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Q 63 Mark Question3 Marks

Find x, if
$\Big( \frac{3}{5}\Big)^{-3}\times\Big(\frac{3}{2}\Big)^{5}=\Big(\frac{3}{2}\Big)^{2\text{x}+1}$

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Q 73 Mark Question3 Marks

By what number should $\Big(\frac{1}{2}\Big)^{-1}$ be multiplied so that the product may be equal to $\Big(\frac{-4}{7}\Big)^{-1}?$

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Q 83 Mark Question3 Marks

Find x, if
$\Big( \frac{2}{5}\Big)^{-3}\times\Big(\frac{3}{2}\Big)^{15}=\Big(\frac{2}{5}\Big)^{2\text{x}+1}$

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Q 93 Mark Question3 Marks

By what number should $\Big(\frac{5}{3}\Big)^{-2}$ be multiplied so that the product may be $\Big(\frac{7}{3}\Big)^{-1}?$

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Q 103 Mark Question3 Marks

Find x, if
$\Big( \frac{1}{2}\Big)^{-19}\div\Big(\frac{-1}{2}\Big)^{8}=\Big(\frac{-1}{2}\Big)^{-2\text{x}+1}$

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Q 11MCQ1 Mark

$\bigg\{\Big(\frac{1}{3}\Big)^2\bigg\}^4$ is equal to:

A
$\Big(\frac{1}{3}\Big)^6$
✓
$\Big(\frac{1}{3}\Big )^8$
C
$\Big(\frac{1}{3}\Big)^{24}$
D
$\Big(\frac{1}{3}\Big)^{16}$

Answer: B.

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Q 12MCQ1 Mark

For any two non$-$zero rational nmbers $a,(\text{a}^3)^{-2}$ is equal to:

A
$\text{a}^9$
✓
$\text{a}^{-6}$
C
$\text{a}^{-9}$
D
$\text{a}^1$

Answer: B.

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Q 13MCQ1 Mark

$\Big(\frac{2}{3}\Big)^{-5}\times\Big(\frac{5}{7}\Big)^{-5}$ is equal to:

A
$\Big(\frac{2}{3}\times\frac{5}{7}\Big)^{-10}$
✓
$\Big(\frac{2}{3}\times\frac{5}{7}\Big )^{-5}$
C
$\Big(\frac{2}{3}\times\frac{5}{7}\Big)^{25}$
D
$\Big(\frac{2}{3}\times\frac{5}{7}\Big)^{-25}$

Answer: B.

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Q 14MCQ1 Mark

Which of the following number is not equal to $\frac{-8}{27}?$

✓
$\Big(\frac{2}{3}\Big)^{-3}$
B
$-\Big(\frac{2}{3}\Big)^3$
C
$\Big(-\frac{2}{3}\Big)^3$
D
$\Big(\frac{-2}{3}\Big)\times\Big(\frac{-2}{3}\Big )\times\Big(\frac{-2}{3}\Big)$

Answer: A.

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Q 15MCQ1 Mark

$\Big(\frac{-1}{2}\Big)^5\times\Big(\frac{-1}{2}\Big)^3$ is equal to:

✓
$\Big(\frac{-1}{2}\Big)^{8}$
B
$-\Big(\frac{1}{2}\Big)^8$
C
$\Big(\frac{1}{4}\Big)^8$
D
$\Big(-\frac{1}{2}\Big)^{15}$

Answer: A.

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Q 16Solve The Following Question.1MARKS1 Mark

Express the following rational numbers with a positive exponent:
$\bigg[\Big(\frac{4}{3}\Big)^{-3}\bigg]^4$

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Q 17Solve The Following Question.1MARKS1 Mark

Find the values of the following.
$(3^°+4^{-1})\times2^2$

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Q 18Solve The Following Question.1MARKS1 Mark

Express the following rational numbers with a positive exponent:
$4^3\times4^{-9}$

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Q 19Solve The Following Question.1MARKS1 Mark

Evaluate:
$(-3)^{-2}$

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Q 20Solve The Following Question.1MARKS1 Mark

Express of the following as a rational number in the form $\frac{\text{p}}{\text{q}}:$
$(-7)^{-1}$

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