CameraIcon

SearchIcon

MyQuestionIcon

3

You visited us 3 times! Enjoying our articles? Unlock Full Access!

(a^m)^n=a^mn and a^0 = 1

Question 37In...

Question

Question 37

In the following question, fill in the blanks to make the statements true.

$5^{5} \times 5^{- 5}$ =

Open in App

Solution

Using law of exponents,
$a^{m} \times a^{n} = (a)^{m + n} ∴ 5^{5} \times 5^{- 5} = (5)^{5 + (- 5)} = (5)^{0} = 1$
Hence, $5^{5} \times 5^{- 5} = 1$

Suggest Corrections

thumbs-up

0

Similar questions

Question 36

In the following question, fill in the blanks to make the statements true.

$5^{0}$ = .

Question 64

Fill in the blanks to make the statement true.

$(- 225) \div 5 =$ ___

Q. Question 37

In the question given below, fill in the blank to make the statement true:

(a - b)

= a^{2} - 2 a b + b^{2}

Question 55

Fill in the blanks to make the statement true.

88 $\times$ ___ = -88

Question 59

In the following question, fill in the blanks to make the statements true.

On multiplying ___ by $2^{- 5},$ we get $2^{5}$ .

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

(a^m)^n=a^mn and a^0 = 1

Standard VI Mathematics

Join BYJU'S Learning Program

CrossIcon