CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Powers with Positive and Negative Exponents

If 5 / 2 2...

Question

If ${(\frac{5}{2})}^{2} \times {(\frac{5}{2})}^{a + 5} = {(\frac{5}{2})}^{8}$ , then find 'a' -

Open in App

Solution

${(\frac{5}{2})}^{2} \times {(\frac{5}{2})}^{a + 5} = {(\frac{5}{2})}^{8} {(\frac{5}{2})}^{2 + a + 5} = {(\frac{5}{2})}^{8}$
Comparing powers
$a + 7 = 8 a = 1$

Suggest Corrections

thumbs-up

1

Similar questions

{(\frac{3}{2})}^{2} \times {(\frac{3}{2})}^{a + 5} = {(\frac{3}{2})}^{8}

a =

{(\frac{3}{2})}^{2} \times {(\frac{3}{2})}^{a + 5} = {(\frac{3}{2})}^{8}

, then the value of

a

a = 5, b = 4

then find the value of

2 a + 4 b^{2}

\frac{2^{10}}{5^{2}} \times \frac{2^{2}}{5^{10}} + {(\frac{5}{2})}^{- 12} = \frac{2^{a}}{5^{b}}

a + b

\frac{2^{10}}{5} \times \frac{2^{2}}{5} \div {(\frac{5}{2})}^{- 12} = \frac{5^{a}}{2}

a

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Indices

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Powers with Positive and Negative Exponents

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon