Question

Simplify and write in exponential form (-5)² (-5)-³

Answer 1

Answer:

hi ,this very easy sum,wer you have to concentrate in exponents and power area and formulas

Answer:

(-5)2*(-5)3

(-5)^2*(-5)^3=-5^2+3

=-5^5

=-3125

therefore,answer is -3125..

hope you understand ,if you have doubt post on comment,thank you

Answer 2

$\displaystyle \sf {( - 5)}^{2} {( - 5)}^{ - 3} = - \frac{1}{5}$

Given :

$\displaystyle \sf {( - 5)}^{2} {( - 5)}^{ - 3}$

To find :

The value of the expression

Formula :

$\boxed{ \: \: \displaystyle \sf {a}^{m} \times {a}^{n} = {a}^{m + n} \: \: }$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf {( - 5)}^{2} {( - 5)}^{ - 3}$

Step 2 of 2 :

Find the value of the expression

We use the formula

$\boxed{ \: \: \displaystyle \sf {a}^{m} \times {a}^{n} = {a}^{m + n} \: \: }$

Thus we get

$\displaystyle \sf {( - 5)}^{2} {( - 5)}^{ - 3}$

$\displaystyle \sf = {( - 5)}^{2} \times {( - 5)}^{ - 3}$

$\displaystyle \sf = {( - 5)}^{2 - 3}$

$\displaystyle \sf = {( - 5)}^{ - 1}$

$\displaystyle \sf = \frac{1}{ - 5}$

$\displaystyle \sf = - \frac{1}{ 5}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Using law of exponents, simplify (5²)³÷5³

https://brainly.in/question/36250730

2. If 2x× 4x=(8)1/3 × (32)1/5 ,then find the value of x

https://brainly.in/question/14155738