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zlopas [31]
3 years ago
11

The expression above can also be written in the form a^b/c

Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0

Answer:

a=15, b=7, c=4

Step-by-step explanation:

we have

\sqrt[4]{15^{7}}

Remember that

\sqrt[c]{a^{b}}=a^{\frac{b}{c}}

so

\sqrt[4]{15^{7}}=15^{\frac{7}{4}}

therefore

a=15, b=7, c=4

kipiarov [429]3 years ago
8 0

Answer:

The solution, a=15, b=7 and c=4

Step-by-step explanation:

Given: \sqrt[4]{15^7}

using exponent and surds rule to change exponent to radical form or radical to exponent form.

Rule: \sqrt[n]{a^m}=a^{\frac{m}{n}}

Now we compare the given expression

\sqrt[n]{a^m}=\sqrt[4]{15^7}

\Rightarrow 15^{\frac{7}{4}}

It is equal to a^{\frac{b}{c}}

Compare both solution

a^{\frac{b}{c}}=15^{\frac{7}{4}}

a\rightarrow 15

b\rightarrow 7

c\rightarrow 4

Hence, The solution a=15, b=7 and c=4

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