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Popular >

simplify \sqrt[3]{8^5}

Solution

simplify

Solution

32

Solution steps

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

8^{3 + 2} = 8^{3} \cdot 8^{2}

Apply radical rule:

Apply radical rule:

8^{2} = 64

Factor the number:

64 = 4^{3}

Apply radical rule:

= 8 \cdot 4

Multiply the numbers:

8 \cdot 4 = 32

= 32

Popular Examples

3 + 3 k < 9

∣ x + 5 ∣ \leq 9

(x+3)(x-1)(x-3)<0

(x + 3) (x - 1) (x - 3) < 0

12 x - 3 < 8

x^{2} = - 29

Frequently Asked Questions (FAQ)

What is \sqrt[3]{8^5} ?
The solution to \sqrt[3]{8^5} is 32