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Popular >

simplify (t^{-2})^6

Solution

simplify

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

Solution

\frac{1}{t ^{12}}

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= t^{- 2 \cdot 6}

Multiply the numbers:

2 \cdot 6 = 12

= t^{- 12}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

t^{- 12} = \frac{1}{t ^{12}}

= \frac{1}{t ^{12}}

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Frequently Asked Questions (FAQ)

What is (t^{-2})^6 ?
The solution to (t^{-2})^6 is 1/(t^{12)}