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Popular >

simplify (8c^5)^2

Solution

simplify

(8 c^{5})^{2}

Solution

64 c^{10}

Solution steps

(8 c^{5})^{2}

Apply exponent rule:

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

(8 c^{5})^{2} = 8^{2} (c^{5})^{2}

= 8^{2} (c^{5})^{2}

8^{2} = 64

= 64 (c^{5})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(c^{5})^{2} = c^{5 \cdot 2}

= 64 c^{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= 64 c^{10}

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Frequently Asked Questions (FAQ)

What is (8c^5)^2 ?
The solution to (8c^5)^2 is 64c^{10}