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Popular >

factor sqrt(49^3)

Solution

factor

4 9^{3}

Solution

343

Solution steps

4 9^{3}

Apply exponent rule:

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

= 4 9^{2} \cdot 4 9^{1}

Apply radical rule:

a \cdot b = a b

= 4 9^{2} 4 9^{1}

Apply radical rule:

assuming

a \geq 0

4 9^{2} = 49

= 49 4 9^{1}

Apply rule

a^{1} = a

4 9^{1} = 49

= 4949

49 = 7

= 49 \cdot 7

Multiply the numbers:

49 \cdot 7 = 343

= 343

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simplify R(-2.2)simplify

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Frequently Asked Questions (FAQ)

What is factor sqrt(49^3) ?
The solution to factor sqrt(49^3) is 343