Question

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

Answer 1

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

$a=15, b=7, c=4$

Answer 2

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