Powers - Jharkhand Board (JAC) STD 8 Maths Questions

Q 1M.C.Q. [1 Marks Each]1 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.

View full solution →

Q 2M.C.Q. [1 Marks Each]1 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.

View full solution →

Q 3M.C.Q. [1 Marks Each]1 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.

View full solution →

Q 4M.C.Q. [1 Marks Each]1 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.

View full solution →

Q 5M.C.Q. [1 Marks Each]1 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.

View full solution →

Q 62 Marks Questions2 Marks

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

View full solution →

Q 72 Marks Questions2 Marks

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

View full solution →

Q 82 Marks Questions2 Marks

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

View full solution →

Q 92 Marks Questions2 Marks

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

View full solution →

Q 102 Marks Questions2 Marks

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

View full solution →

Q 113 Marks Question3 Marks

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

View full solution →

Q 123 Marks Question3 Marks

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

View full solution →

Q 133 Marks Question3 Marks

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

View full solution →

Q 143 Marks Question3 Marks

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

View full solution →

Q 153 Marks Question3 Marks

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

View full solution →

Q 161 Marks Question1 Mark

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

View full solution →

Q 171 Marks Question1 Mark

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

View full solution →

Q 181 Marks Question1 Mark

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

View full solution →

Q 191 Marks Question1 Mark

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

View full solution →

Q 201 Marks Question1 Mark

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

View full solution →

Powers question types

Powers questions

Generate a Powers paper free

Powers Maths - Powers

Powers question types

Powers questions

Generate a Powers paper free