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Popular >

simplify (14/8)^5

Solution

simplify

(\frac{14}{8})^{5}

Solution

\frac{16807}{1024}

+1

Decimal Notation

16.41308 \dots

Solution steps

(\frac{14}{8})^{5}

Apply exponent rule:

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

= \frac{1 4 ^{5}}{8 ^{5}}

8^{5} = 32768

= \frac{1 4 ^{5}}{32768}

Factor

1 4^{5} : 2^{5} \cdot 7^{5}

Factor

32768 : 2^{15}

= \frac{2 ^{5} \cdot 7 ^{5}}{2 ^{15}}

Cancel

\frac{2 ^{5} \cdot 7 ^{5}}{2 ^{15}} : \frac{7 ^{5}}{2 ^{10}}

= \frac{7 ^{5}}{2 ^{10}}

7^{5} = 16807

= \frac{16807}{2 ^{10}}

2^{10} = 1024

= \frac{16807}{1024}

Popular Examples

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- 3 \cdot \frac{1}{3}

∣ 2 x - 8 ∣ + 6 = 16

simplify ((x^2-y^2)/(x+y)}{\frac{x-y)/a}simplify

\frac{\frac{x ^{2} - y ^{2}}{x + y}}{\frac{x - y}{a}}

1/3 p= 1/2 p+1/3

\frac{1}{3} p = \frac{1}{2} p + \frac{1}{3}

4 x - 3 > 9

Frequently Asked Questions (FAQ)

What is (14/8)^5 ?
The solution to (14/8)^5 is 16807/1024