Question

Find the product with the exponent in simplest form.

Answer 1

Answer:

x = 7 , y = 12

Step-by-step explanation:

using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

consider left side

$6^{\frac{1}{3} }$ × $6^{\frac{1}{4} }$

= $6^{(\frac{1}{3}+\frac{1}{4}) }$

= $6^{(\frac{4}{12}+\frac{3}{12}) }$

= $6^{\frac{7}{12} }$ = $6^{\frac{x}{y} }$ , comparing exponents , then

x = 7 and y = 12