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Popular >

simplify (4r^2)^6

Solution

simplify

(4 r^{2})^{6}

Solution

4096 r^{12}

Solution steps

(4 r^{2})^{6}

Apply exponent rule:

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

(4 r^{2})^{6} = 4^{6} (r^{2})^{6}

= 4^{6} (r^{2})^{6}

4^{6} = 4096

= 4096 (r^{2})^{6}

Apply exponent rule:

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

assuming

a \geq 0

(r^{2})^{6} = r^{2 \cdot 6}

= 4096 r^{2 \cdot 6}

Multiply the numbers:

2 \cdot 6 = 12

= 4096 r^{12}

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Frequently Asked Questions (FAQ)

What is (4r^2)^6 ?
The solution to (4r^2)^6 is 4096r^{12}