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Popular >

simplify 1/2*(1/4)^0

Solution

simplify

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

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

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

Factor the number:

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

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

Apply exponent rule:

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

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

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

Apply rule

0 \cdot a = 0

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 0 = 1

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

Apply exponent rule:

a^{1} = a

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1/2*(1/4)^0 ?
The solution to 1/2*(1/4)^0 is 1/2