Question

1.a) express 64 in the form of 2^p

b)hence find the value of p when:
2^p= 1/64​

Answer 1

Hope you understand

Answer 2

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

$\frac{1}{a^{m} }$ ⇔ $a^{-m}$

64 = $2^{6}$ , then

$2^{p}$ = $\frac{1}{64}$ = $\frac{1}{2^{6} }$ = $2^{-6}$

Since the bases on both sides are equal, both 2, then equate exponents

p = - 6