What is the answer to (5^k)^2=(125^3)/((5^2)) ?

The answer to (5^k)^2=(125^3)/((5^2)) is k= 7/2

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(5^k)^2=(125^3)/((5^2))

(5^{k})^{2} = \frac{12 5 ^{3}}{( 5 ^{2} )}

k = \frac{7}{2}

Decimal Notation

k = 3.5

Solution steps

(5^{k})^{2} = \frac{12 5 ^{3}}{( 5 ^{2} )}

Apply exponent rules

k \cdot 2 = 7

Solve

k \cdot 2 = 7 : k = \frac{7}{2}

k = \frac{7}{2}

2^{2 x + 6 x} - 16 = 0

100 = 5^{b}

0.9711 n - 0.9711 = (0.9614)^{n}

25 6^{2 x - 16} = (\frac{1}{128})^{20 - 2 x}

\frac{2 ^{8}}{3 ^{8}} = (\frac{- 2}{3})^{n - 1}

What is the answer to (5^k)^2=(125^3)/((5^2)) ?
The answer to (5^k)^2=(125^3)/((5^2)) is k= 7/2
Solve for k: (5^k)^2=(125^3)/((5^2))
The solution is k= 7/2