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Popular >

simplify \sqrt[3]{27^5}

Solution

simplify

Solution

243

Solution steps

Apply exponent rule:

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

2 7^{3 + 2} = 2 7^{3} \cdot 2 7^{2}

Apply radical rule:

Apply radical rule:

2 7^{2} = 729

Factor the number:

729 = 9^{3}

Apply radical rule:

= 27 \cdot 9

Multiply the numbers:

27 \cdot 9 = 243

= 243

Popular Examples

simplify (1.6*10^{-7})/(3.2*10^{-11)}simplify

\frac{1.6 \cdot 1 0 ^{- 7}}{3.2 \cdot 1 0 ^{- 11}}

(x+6)/2+(x+2)/5 =2

\frac{x + 6}{2} + \frac{x + 2}{5} = 2

factor x^4+5x^2-36 factor

x^{4} + 5 x^{2} - 36

6 x^{2} + x = 1

2 (3)^{1}

Frequently Asked Questions (FAQ)

What is \sqrt[3]{27^5} ?
The solution to \sqrt[3]{27^5} is 243