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Popular >

simplify (49^3)^{1/6}

Solution

simplify

(4 9^{3})^{\frac{1}{6}}

Solution

7

Solution steps

(4 9^{3})^{\frac{1}{6}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4 9^{3 \cdot \frac{1}{6}}

3 \cdot \frac{1}{6} = \frac{1}{2}

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

Factor the number:

49 = 7^{2}

= (7^{2})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

2 \cdot \frac{1}{2} = 1

= 7^{1}

Apply exponent rule:

a^{1} = a

= 7

Popular Examples

2x-3(1-x)+7=-5x

2 x - 3 (1 - x) + 7 = - 5 x

2x(3x-5)+7x(1-x)=-10

2 x (3 x - 5) + 7 x (1 - x) = - 10

factor \sqrt[5]{3-3i}factor

x^{2} - \frac{3}{2} x + 3 = 0

simplify x^{-3/2}simplify

x^{- \frac{3}{2}}

Frequently Asked Questions (FAQ)

What is (49^3)^{1/6} ?
The solution to (49^3)^{1/6} is 7