Question

If 16 to the power 45= 32to the power p then find the power of p

Answer 1

Step-by-step explanation:

${16}^{45} = {32}^{p} \\ {2}^{4 \times 45} = {2}^{5 \times p} \\ {2}^{180} = {2}^{5p} \\ 180 = 5p \\ p = \frac{180}{5} \\ p = 36$