Express $8^{- 2}$ as a exponent with base 2 :

$2^{- 6}$

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$2^{- 8}$

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$2^{- 4}$

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$8^{- 4}$

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Solution

The correct option is A
$2^{- 6}$

$8^{- 2}$ = $(2^{3})^{- 2}$

$∵ (a^{m})^{n} = (a)^{m \times n}$

= $2^{- 6}$

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Similar questions

Express $8^{- 2}$ as a exponent with base 2 :

Q. Base 3 with exponent 5 can be expressed as

Q. Express as a power of a rational number with positive exponent

8^{6} \times 8^{- 5}

Question 158(ii)

Find a single machine that will do the same job as the given hook-up.
$a (\times 2^{4})$ machine followed by $(\times {(\frac{1}{2})}^{2})$ machine.
Maya multiplied $(4^{2} \times 3^{2})$ by thinking about stretching machines.

Use Maya's idea to multiply $5^{3} \times 2^{3}$ .
Maya's idea is another product law of exponents.
Multiplying Expressions with the same Exponents
$a^{c} \times b^{c} = (a \times b)^{c}$
You can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. $2^{8} \times 3^{8} \times 7^{8} = (2 \times 3 \times 7)^{8} = 42^{8}$ .

The area of a square is given by the formula A = $c^{2}$ . What will be the total area of 64 such similar squares, if the side of a square is 8 ft? Express the final area with 2 as the base and some exponent.

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Express 8−2 as a exponent with base 2 :

The correct option is A 2−6 8−2 = (23)−2 ∵(am)n = (a)m×n = 2−6

Express $8^{- 2}$ as a exponent with base 2 :

The correct option is A
$2^{- 6}$

$8^{- 2}$ = $(2^{3})^{- 2}$

$∵ (a^{m})^{n} = (a)^{m \times n}$

= $2^{- 6}$