What is ([(-7)^2*(-7)^4]^2)/([(-7)^5]^2) ?

The solution to ([(-7)^2*(-7)^4]^2)/([(-7)^5]^2) is 49

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simplify ([(-7)^2*(-7)^4]^2)/([(-7)^5]^2)

simplify

\frac{[ ( - 7 ) ^{2} \cdot ( - 7 ) ^{4} ] ^{2}}{[ ( - 7 ) ^{5} ] ^{2}}

49

Solution steps

\frac{( ( - 7 ) ^{2} ( - 7 ) ^{4} ) ^{2}}{( ( - 7 ) ^{5} ) ^{2}}

((- 7)^{5})^{2} = 7^{10}

= \frac{( ( - 7 ) ^{2} ( - 7 ) ^{4} ) ^{2}}{7 ^{10}}

((- 7)^{2} (- 7)^{4})^{2} = 2401 \cdot 7^{8}

= \frac{2401 \cdot 7 ^{8}}{7 ^{10}}

Factor the number:

2401 = 7^{4}

= \frac{7 ^{4} \cdot 7 ^{8}}{7 ^{10}}

\frac{7 ^{4}}{7 ^{10}} = \frac{1}{7 ^{6}}

= \frac{7 ^{8}}{7 ^{6}}

Apply exponent rule:

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

= 7^{8 - 6}

Subtract the numbers:

8 - 6 = 2

= 7^{2}

7^{2} = 49

= 49

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

(3 c^{2} d^{4}) (4 c^{6} d^{7})

7.6 \cdot 1 0^{- 5}

e^{- 2.7}

What is ([(-7)^2*(-7)^4]^2)/([(-7)^5]^2) ?
The solution to ([(-7)^2*(-7)^4]^2)/([(-7)^5]^2) is 49