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Popular >

simplify (34)^{2(-1)}

Solution

simplify

(3 \cdot 4)^{2 \cdot (- 1)}

Solution

\frac{1}{144}

+1

Decimal Notation

0.00694 \dots

Solution steps

(3 \cdot 4)^{2 (- 1)}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

3^{2 (- 1)} = \frac{1}{9}

= \frac{1}{9} \cdot 4^{2 (- 1)}

Multiply the numbers:

2 (- 1) = - 2

= \frac{1}{9} \cdot 4^{- 2}

Apply exponent rule:

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

4^{- 2} = \frac{1}{4 ^{2}}

= \frac{1}{9} \cdot \frac{1}{4 ^{2}}

4^{2} = 16

= \frac{1}{9} \cdot \frac{1}{16}

\frac{1}{9} \cdot \frac{1}{16} = \frac{1}{144}

= \frac{1}{144}

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Frequently Asked Questions (FAQ)

What is (3*4)^{2*(-1)} ?
The solution to (3*4)^{2*(-1)} is 1/144