Answer:
a = [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
x × [tex]x^{\frac{3}{4} }[/tex] = [tex]x^{(1+\frac{3}{4)} }[/tex] = [tex]x^{(\frac{4}{4}+\frac{3}{4}) }[/tex] = [tex]x^{\frac{7}{4} }[/tex] , so
[tex]x^{\frac{7}{4} }[/tex] = [tex]x^{a}[/tex]
Since the bases on both sides are x, then equate the exponents.
a = [tex]\frac{7}{4}[/tex]
