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Popular >

simplify 7(2d^3)^3

Solution

simplify

7 (2 d^{3})^{3}

Solution

56 d^{9}

Solution steps

7 (2 d^{3})^{3}

Apply exponent rule:

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

(2 d^{3})^{3} = 2^{3} (d^{3})^{3}

= 7 \cdot 2^{3} (d^{3})^{3}

2^{3} = 8

= 7 \cdot 8 (d^{3})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= 7 \cdot 8 d^{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= 7 \cdot 8 d^{9}

Multiply the numbers:

7 \cdot 8 = 56

= 56 d^{9}

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Frequently Asked Questions (FAQ)

What is 7(2d^3)^3 ?
The solution to 7(2d^3)^3 is 56d^9