Exponents - Jharkhand Board (JAC) STD 8 Maths Questions

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

Mark $(\checkmark)$ against the correct answer of the following: $\Big(\frac{-1}{3}\Big)^{3}=\ ?$

A
$\frac{-1}{9}$
B
$\frac{1}{9}$
✓
$\frac{-1}{27}$
D
$\frac{1}{27}$

Answer: C.

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

Tick $(\checkmark)$ the correct answer the following : $0.000367 \times 10^4$ in usual form is:

✓
$3.67$
B
$36.7$
C
$0.367$
D
$0.0367$

Answer: A.

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

Tick $(\checkmark)$ the correct answer the following:
$\Big(-\frac{1}{2}\Big)^{3}=\ ?$

A
$\frac{-1}{6}$
B
$\frac{1}{6}$
✓
$\frac{1}{8}$
D
$\frac{-1}{8}$

Answer: C.

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

Tick $(\checkmark)$ the correct answer the following: The value of $\left(3^{-1}+4^{-1}\right)^{-1} \div 5^{-1}$ is :

A
$\frac{7}{10}$
✓
$\frac{60}{7}$
C
$\frac{7}{5}$
D
$\frac{7}{15}$

Answer: B.

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

Mark $(\checkmark)$ against the correct answer of the following: The value of $(-3)^{-3}$ is:

A
$-27$
B
$9$
✓
$\frac{-1}{27}$
D
$\frac{1}{27}$

Answer: C.

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Q 62 Marks Questions2 Marks

Find the value of: $\Big(\frac{1}{2}\Big)^{-2}+\Big(\frac{1}{3}\Big)^{-2}+\Big(\frac{1}{4}\Big)^{-2}$

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Q 72 Marks Questions2 Marks

$1$ micron $=\frac{1}{1000000}\text{m}$. Express it in standard form.

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Q 82 Marks Questions2 Marks

Evaluate:
$\Bigg\{\Big(\frac{1}{3}\Big)^{-3}-\Big(\frac{1}{2}\Big)^{-3}\Bigg\}\div\Big(\frac{1}{4}\Big)^{-3}$

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Q 92 Marks Questions2 Marks

Write the following numbers in usual form:
$6.82 × 10^{-6}$

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Q 102 Marks Questions2 Marks

Evaluate: $\Big(\frac{-2}{3}\Big)^{-3}\times\Big(\frac{-2}{3}\Big)^{-2}$

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Q 113 Marks Question3 Marks

By what number should $(-3)^{-1} $ be multiplied so that the product blecomes $ 6^{-1}$?

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Q 123 Marks Question3 Marks

Simplify: $\big(3^{-1}+6^{-1}\big)\div\Big(\frac{3}{4}\Big)^{-1}$

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Q 133 Marks Question3 Marks

Mass of earth is $\left(5.97 \times 10^{24}\right) kg$ and mass of moon is $\left(7.35 \times 10^{22}\right) kg$. What is the total mass of the two?

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Q 143 Marks Question3 Marks

If $5^{2 x+1} \div 25=125$, find the value of $x$.

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Q 153 Marks Question3 Marks

By what number should $(-6)^{-1}$ be multiplied so that the product becomes $9^{-1}$ ?

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Q 165 Marks Questions5 Marks

By what number should $\Big(\frac{-2}{3}\Big)^{-3}$ be divided so that the quotient may be $\Big(\frac{4}{27}\Big)^{-2}$?

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Q 175 Marks Questions5 Marks

By what number should $\Big(\frac{-2}{3}\Big)^{-3}$ be divided so that the quotient is $\Big(\frac{4}{9}\Big)^{-2}$?

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Q 181 Marks Question1 Mark

Evaluate: $\Big(\frac{5}{6}\Big)^{6}\times\Big(\frac{5}{6}\Big)^{-4}$

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Q 191 Marks Question1 Mark

Write the following numbers in usual form:
$3.74 × 10^5$

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Q 201 Marks Question1 Mark

Evaluate: $\Big(\frac{-2}{3}\Big)^{-5}$

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Q 211 Marks Question1 Mark

Fill in the blank.$\Big(\frac{-2}{3}\Big)^{-2}=\ ......$

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Q 221 Marks Question1 Mark

Evaluate: $\Big(\frac{-2}{3}\Big)^{-5}$

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Exponents Maths - Exponents

Exponents question types

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