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Popular >

5^n*(1/5)^3=125

Solution

5^{n} \cdot (\frac{1}{5})^{3} = 125

Solution

n = 6

Solution steps

5^{n} (\frac{1}{5})^{3} = 125

Divide both sides by

(\frac{1}{5})^{3}

5^{n} = \frac{125}{( \frac{1}{5} ) ^{3}}

Simplify

\frac{125}{( \frac{1}{5} ) ^{3}} : 15625

5^{n} = 15625

Apply exponent rules

n = 6

Popular Examples

4^{log_{2}(2x)}=36

4^{l o g_{2} (2 x)} = 36

k^{x+1}*k^{x-1}=k^{10}

k^{x + 1} \cdot k^{x - 1} = k^{10}

(3^{x}) + (3^{x}) = 54

((2^{n^2}))/((2^n*2^6))=1

\frac{( 2 ^{n^{2}} )}{( 2 ^{n} \cdot 2 ^{6} )} = 1

solvefor x,3^x-3^y=19602 solve for

x, 3^{x} - 3^{y} = 19602

Frequently Asked Questions (FAQ)

What is the answer to 5^n*(1/5)^3=125 ?
The answer to 5^n*(1/5)^3=125 is n=6
Solve for n: 5^n*(1/5)^3=125
The solution is n=6