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Popular >

simplify 5sqrt(4^3)

Solution

simplify

5 4^{3}

Solution

40

Solution steps

5 4^{3}

Apply exponent rule:

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

4^{2 + 1} = 4^{2} \cdot 4

= 5 4^{2} \cdot 4

Apply radical rule:

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

4^{2} \cdot 4 = 4^{2} 4

= 5 4^{2} 4

Apply radical rule:

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

4^{2} = 4

= 5 \cdot 44

Prime factorization of

4 : 2^{2}

= 5 \cdot 4 2^{2}

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 4 \cdot 2

Multiply the numbers:

4 \cdot 2 = 8

= 5 \cdot 8

Multiply the numbers:

5 \cdot 8 = 40

= 40

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Frequently Asked Questions (FAQ)

What is 5sqrt(4^3) ?
The solution to 5sqrt(4^3) is 40