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Popular >

simplify (4^3)^{-2}*(4^2)^2

Solution

simplify

(4^{3})^{- 2} \cdot (4^{2})^{2}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

(4^{3})^{- 2} (4^{2})^{2}

(4^{3})^{- 2} = \frac{1}{4096}

= \frac{1}{4096} (4^{2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(4^{2})^{2} = 4^{2 \cdot 2}

= \frac{1}{4096} \cdot 4^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{4096} \cdot 4^{4}

4^{4} = 256

= \frac{1}{4096} \cdot 256

\frac{1}{4096} \cdot 256 = \frac{1}{16}

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is (4^3)^{-2}*(4^2)^2 ?
The solution to (4^3)^{-2}*(4^2)^2 is 1/16