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Popular >

simplify (5d^4)^3

Solution

simplify

(5 d^{4})^{3}

Solution

125 d^{12}

Solution steps

(5 d^{4})^{3}

Apply exponent rule:

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

(5 d^{4})^{3} = 5^{3} (d^{4})^{3}

= 5^{3} (d^{4})^{3}

5^{3} = 125

= 125 (d^{4})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(d^{4})^{3} = d^{4 \cdot 3}

= 125 d^{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= 125 d^{12}

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Frequently Asked Questions (FAQ)

What is (5d^4)^3 ?
The solution to (5d^4)^3 is 125d^{12}