What is ((56^{1/4})/(7^{1/4)})^5 ?

The solution to ((56^{1/4})/(7^{1/4)})^5 is 8*2^{3/4}

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simplify ((56^{1/4})/(7^{1/4)})^5

simplify

(\frac{5 6 ^{\frac{1}{4}}}{7 ^{\frac{1}{4}}})^{5}

8 \cdot 2^{\frac{3}{4}}

Decimal Notation

13.45434 \dots

Solution steps

(\frac{5 6 ^{\frac{1}{4}}}{7 ^{\frac{1}{4}}})^{5}

Apply exponent rule:

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

= \frac{( 5 6 ^{\frac{1}{4}} ) ^{5}}{( 7 ^{\frac{1}{4}} ) ^{5}}

(5 6^{\frac{1}{4}})^{5} = 56 \cdot 5 6^{\frac{1}{4}}

= \frac{56 \cdot 5 6 ^{\frac{1}{4}}}{( 7 ^{\frac{1}{4}} ) ^{5}}

(7^{\frac{1}{4}})^{5} = 7 \cdot 7^{\frac{1}{4}}

= \frac{56 \cdot 5 6 ^{\frac{1}{4}}}{7 \cdot 7 ^{\frac{1}{4}}}

Divide the numbers:

\frac{56}{7} = 8

= \frac{8 \cdot 5 6 ^{\frac{1}{4}}}{7 ^{\frac{1}{4}}}

Factor

5 6^{\frac{1}{4}} : 2^{\frac{3}{4}} \cdot 7^{\frac{1}{4}}

= \frac{8 \cdot 2 ^{\frac{3}{4}} \cdot 7 ^{\frac{1}{4}}}{7 ^{\frac{1}{4}}}

Cancel the common factor:

7^{\frac{1}{4}}

= 8 \cdot 2^{\frac{3}{4}}

9 x^{2} - 121

10 x^{2} + 2 x - 5 x - 1 = 0

\frac{3}{8} a - 5 > 3 a + 4

9 + 5 x = 6 x + 4

- \frac{8}{3} - 8

What is ((56^{1/4})/(7^{1/4)})^5 ?
The solution to ((56^{1/4})/(7^{1/4)})^5 is 8*2^{3/4}