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

see explanation

Explanation:

Using the rule of exponents

`(1)/(a^(m) )` ⇔
`a^(-m)`

64 =
`2^(6)` , then

`2^(p)` =
`(1)/(64)` =
`(1)/(2^(6) )` =
`2^(-6)`

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

p = - 6