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Popular >

simplify [((-12)^4)^{-3}]^5

Solution

simplify

[((- 12)^{4})^{- 3}]^{5}

Solution

\frac{1}{1 2 ^{60}}

+1

Decimal Notation

1.7747 E - 65

Solution steps

[((- 12)^{4})^{- 3}]^{5}

((- 12)^{4})^{- 3} : (- 12)^{- 12}

= [(- 12)^{- 12}]^{5}

(- 12)^{- 12} = \frac{1}{1 2 ^{12}}

= (\frac{1}{1 2 ^{12}})^{5}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{5}}{( 1 2 ^{12} ) ^{5}}

(1 2^{12})^{5} : 1 2^{60}

= \frac{1 ^{5}}{1 2 ^{60}}

Apply rule

1^{a} = 1

1^{5} = 1

= \frac{1}{1 2 ^{60}}

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Frequently Asked Questions (FAQ)

What is [((-12)^4)^{-3}]^5 ?
The solution to [((-12)^4)^{-3}]^5 is 1/(12^{60)}