Question

Find the value of p. 2 into the power of 5p divided by 2 to the power P equals to 64

Answer 1

Answer:

p = 3/2

Step-by-step explanation:

${2}^{5p} \div {2}^{p} = 64 \\ \frac{ {2}^{5p} }{ {2}^{p} } = {2}^{6} \\ {2}^{5p} \times {2}^{ - p} = {2}^{6} \\ {2}^{5p - p} = {2}^{6} \\ {2}^{4p} = {2}^{6} \\ base \: are \: same \: powers \: to \: be \: equal \\ 4p = 6 \\ p = \frac{6}{4} = \frac{3}{2}$

Answer 2

Answer:

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