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Popular >

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

Solution

simplify

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

Solution

\frac{1}{8}

+1

Solution steps

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

Factor the number:

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

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

Apply exponent rule:

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

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

= (\frac{1}{2})^{3}

Apply exponent rule:

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

= \frac{1 ^{3}}{2 ^{3}}

1^{3} = 1

= \frac{1}{2 ^{3}}

2^{3} = 8

= \frac{1}{8}

Popular Examples

2 q + 10 = 7 q

factor 4x^2+8x-5 factor

4 x^{2} + 8 x - 5

factor-x^3-2x^2+15x factor

- x^{3} - 2 x^{2} + 15 x

8<=-3(4x+1)<= 24

8 \leq - 3 (4 x + 1) \leq 24

longmult 0.4*2 long multiplication

0.4 \cdot 2

Frequently Asked Questions (FAQ)

What is 1/2*(1/4)^1 ?
The solution to 1/2*(1/4)^1 is 1/8