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Popular >

simplify 2^7*(2^6)^-3

Solution

simplify

2^{7} \cdot (2^{6})^{-} 3

Solution

24576

Solution steps

2^{7} (2^{6})^{-} \cdot 3

(2^{6})^{-} : 2^{6 -}

= 2^{7} \cdot 2^{6 -} \cdot 3

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{7} \cdot 2^{6 -} = 2^{7 + 6 -}

= 2^{7 + 6 -} \cdot 3

Add the numbers:

7 + 6 = 13

= 2^{13} \cdot 3

2^{13} = 8192

= 8192 \cdot 3

Multiply the numbers:

8192 \cdot 3 = 24576

= 24576

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Frequently Asked Questions (FAQ)

What is 2^7*(2^6)^-3 ?
The solution to 2^7*(2^6)^-3 is 24576