Question

Simplify and also write laws which are used to simplify this (3⁻⁴× 10⁻²×81×2² ×125) ⁄ 5

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Answer 1

Step-by-step explanation:

Given:-

(3^-4× 10^-2×81×2^2×125) ⁄ 5

To find:-

simplify this (3^-4× 10^-2×81×2^2×125) ⁄ 5

Solution:-

Given expression is (3^-4× 10^-2×81×2^2×125) ⁄ 5

It can be written as

=>(3^-4×10^-2×3^4×2^2×5^3)/5

We know that

a^-n = 1/a^n

=>[(1/3)^4×(1/10)^2×3^4×2^2×5^3]/5

=>[(1/3)^4×(1/2)^2×(1/5)^2×3^4×2^2×5^3]/5

It can be written as

=>[(3^4/3^4 )×(5^3/5^2)×(2^2/2^2)]/5

We know that a^m/a^n = a^(m-n)

= [3^(4-4)×5^(3-2)×2^(2-2)]/5

=>(3^0×5^1×2^0)/5

We know that a^0 = 1

=>(1×5×1)/5

=>5/5

=>1

Answer:-

The value of the given expression is 1

Used formulae:-

• a^-m = 1/a^m

• a^m/a^n = a^(m-n)

• a^0 = 1

Answer 2

Answer:

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Step-by-step explanation:

hope it helps you