Question

simplify and express the results in exponential form
(1)^5×(1)^3×(1)^-2​

Answer 1

Answer:

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Class 11

>>Applied Mathematics

>>Logarithm and Antilogarithm

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>>Simplify and express the result in power

Question

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Simplify and express the result in power notation with positive exponent.

(i) (−4)

5

÷(−4)

8

(ii) (

2

3

1

)

2

(iii) (−3)

4

×(

3

5

)

4

(iv) (3

−7

÷3

−10

)×3

−5

(v) 2

−3

×(−7)

(−3)

Medium

Solution

verified

Verified by Toppr

(i) (−4)

5

÷(−4)

8

=

(−4)

8

(−4)

5

=(−4)

5−8

=(−4)

−3

=

(−4)

3

1

(ii) (

2

3

1

)

2

=

2

3×2

1

=

2

6

1

(iii) (−3)

4

×(

3

5

)

4

=(−1)

4

×(3)

4

×(

3

5

)

4

=(−1)

4

×5

4

=5

4

(iv) (3

−7

÷3

−10

)×3

−5

=(

3

−10

3

−7

)×(3)

−5

=3

−7+10

×3

−5

=3

3−5

=3

−2

=

3

2

1

(v) 2

−3

×(−7)

(−3)

=

2

3

1

×

(−7)

3

1

=(

2×(−7)

1

)

3

=

(−14)

3

1

Answer 2

Answer:

$(1)^{5}*(1)^3*(1)^{-2}$​=1

Step-by-step explanation:

$(1)^{5}$×$(1)^{3}$×$(1)^{-2}$

Having same base , and on multiplication exponents are added

                   $=1^{5+3-2} \\ \\ =1^{8-2} \\ \\ =1^{6} \\ \\ =1$