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Popular >

simplify 125^{1/4}*5^{1/4}

Solution

simplify

12 5^{\frac{1}{4}} \cdot 5^{\frac{1}{4}}

Solution

5

Solution steps

12 5^{\frac{1}{4}} \cdot 5^{\frac{1}{4}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

12 5^{\frac{1}{4}} \cdot 5^{\frac{1}{4}} = (125 \cdot 5)^{\frac{1}{4}}

= (125 \cdot 5)^{\frac{1}{4}}

Multiply the numbers:

125 \cdot 5 = 625

= 62 5^{\frac{1}{4}}

Factor the number:

625 = 5^{4}

= (5^{4})^{\frac{1}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

(5^{4})^{\frac{1}{4}} = 5^{4 \cdot \frac{1}{4}} = 5

= 5

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factor 56x^2+102x+22 factor

56 x^{2} + 102 x + 22

5 x^{2} - 8 x - 21 = 0

Frequently Asked Questions (FAQ)

What is 125^{1/4}*5^{1/4} ?
The solution to 125^{1/4}*5^{1/4} is 5