Question

an equation is shown.
$4^{m} \cdot 4^{4} = 4^{-5}$
what is the value of $m$?
a 9
b -9
c 1
d 20

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $a^x \cdot a^y = a^{x+y}$. So,
$4^{m+4} = 4^{-5}$

Step2: Equate the exponents

If $a^x = a^y$ (where $a
eq 0,1,-1$), then $x=y$.
$m + 4 = -5$

Step3: Solve for m

Subtract 4 from both sides.
$m = -5 - 4$

Answer:

B. -9