Question

question 1-1
an equation is shown.
\\(\left(8^{\frac{2}{3}}\
ight)\left(8^{\frac{5}{4}}\
ight) = 8^{\square}\\)
what exponent goes in the box to make the equation true?
if a fraction needs to be typed in the box, use a slash (/) for the fraction bar.
\boxed{}

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $a^m \cdot a^n = a^{m+n}$.
Here, base $a=8$, so we add $\frac{2}{3}$ and $\frac{5}{3}$:
$$\frac{2}{3} + \frac{5}{3}$$

Step2: Calculate the sum of fractions

Add the numerators over the common denominator:
$$\frac{2+5}{3} = \frac{7}{3}$$

Answer:

$\frac{7}{3}$ (or 7/3)