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Popular >

simplify (2r^3)^3

Solution

simplify

(2 r^{3})^{3}

Solution

8 r^{9}

Solution steps

(2 r^{3})^{3}

Apply exponent rule:

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

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

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

2^{3} = 8

= 8 (r^{3})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= 8 r^{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= 8 r^{9}

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Frequently Asked Questions (FAQ)

What is (2r^3)^3 ?
The solution to (2r^3)^3 is 8r^9