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Popular >

simplify sqrt(2)^3*sqrt(2)

Solution

simplify

2^{3} \cdot 2

Solution

4

Solution steps

(2)^{3} 2

(2)^{3} = 22

= 222

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 \cdot 2

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

What is sqrt(2)^3*sqrt(2) ?
The solution to sqrt(2)^3*sqrt(2) is 4