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Popular >

simplify 49^{1/2}

Solution

simplify

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

Solution

7

Solution steps

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

simplify ((a^2b^{-4})/9)^{-1/2}simplify

(\frac{a ^{2} b ^{- 4}}{9})^{- \frac{1}{2}}

simplify \sqrt[3]{(54x^2y^4)/(2x^5y)}simplify

3 x^{2} + 6 x - 10 = 0

(n - 9) (n - 10) = 90

2 + \frac{5}{9} x > x - 2

Frequently Asked Questions (FAQ)

What is 49^{1/2} ?
The solution to 49^{1/2} is 7