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Popular >

simplify sqrt(7^3)

Solution

simplify

7^{3}

Solution

77

+1

Decimal Notation

18.52025 \dots

Solution steps

7^{3}

Apply exponent rule:

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

7^{2 + 1} = 7^{2} \cdot 7

= 7^{2} \cdot 7

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

7^{2} \cdot 7 = 7^{2} 7

= 7^{2} 7

Apply radical rule:

a^{2} = a, a \geq 0

7^{2} = 7

= 77

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Frequently Asked Questions (FAQ)

What is sqrt(7^3) ?
The solution to sqrt(7^3) is 7sqrt(7)