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Popular >

simplify 100^{1/4}

Solution

simplify

10 0^{\frac{1}{4}}

Solution

1 0^{\frac{1}{2}}

+1

Decimal Notation

3.16227 \dots

Solution steps

10 0^{\frac{1}{4}}

Factor the number:

100 = 1 0^{2}

= (1 0^{2})^{\frac{1}{4}}

Apply exponent rule:

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

= 1 0^{2 \cdot \frac{1}{4}}

2 \cdot \frac{1}{4} = \frac{1}{2}

= 1 0^{\frac{1}{2}}

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\frac{210}{180}

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3 x^{2} + 3 x^{2}

Frequently Asked Questions (FAQ)

What is 100^{1/4} ?
The solution to 100^{1/4} is 10^{1/2}