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Popular >

simplify (5a^2)^3

Solution

simplify

(5 a^{2})^{3}

Solution

125 a^{6}

Solution steps

(5 a^{2})^{3}

Apply exponent rule:

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

(5 a^{2})^{3} = 5^{3} (a^{2})^{3}

= 5^{3} (a^{2})^{3}

5^{3} = 125

= 125 (a^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(a^{2})^{3} = a^{2 \cdot 3}

= 125 a^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 125 a^{6}

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Frequently Asked Questions (FAQ)

What is (5a^2)^3 ?
The solution to (5a^2)^3 is 125a^6