Question

Evaluate the left hand side to find the value of a in the simplest form.

Answer 1

Answer:

a = $\frac{7}{4}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , then

x × $x^{\frac{3}{4} }$ = $x^{(1+\frac{3}{4)} }$ = $x^{(\frac{4}{4}+\frac{3}{4}) }$ = $x^{\frac{7}{4} }$ , so

$x^{\frac{7}{4} }$ = $x^{a}$

Since the bases on both sides are x, then equate the exponents.

a = $\frac{7}{4}$