Simplify (5²⁰ ÷ 5¹¹) × 5⁴ and write in exponential form
Answers
Answered by
2
Answer:
if the base is same in division the power will subtracted so 20-11=9 5 raise to the power 9 then in multiplication if base is same the power will add so 5 to the power 9 and 5 to the power 4 it will become 5 raise to the power 13.
Answered by
41
Answer :-
( 5²⁰ ÷ 5¹¹ ) × 5⁴ = 5¹³
EXPLANATION
To Find :-
- Simplify (5²⁰ ÷ 5¹¹) × 5⁴
★ Solution
⇒ (5²⁰ ÷ 5¹¹) × 5⁴
By using the law of exponent,
[xᵐ/xⁿ = xᵐ⁻ⁿ],
⇒ (5²⁰⁻¹¹) × 5⁴
By subtracting 11 from 20, [20 - 11],
⇒ (5⁹) × 5⁴
By using the law of exponent,
[xᵐ·xⁿ = xᵐ⁺ⁿ],
⇒ 5⁹⁺⁴
By adding 9 and 4, [9 + 4],
⇒ 5¹³ ★
Hence, ( 5²⁰ ÷ 5¹¹ ) × 5⁴ is 5¹³.
_______________________________
LAWS OF EXPONENTS used :-
- xᵐ ÷ xⁿ = xᵐ⁻ⁿ
- (xᵐ)*(xⁿ) = xᵐ⁺ⁿ
More Information :-
Few more information related to exponents,
- (xᵐ)ⁿ = xᵐⁿ
- xᵐxⁿ = xᵐ⁺ⁿ
- (xy)ⁿ = xⁿyⁿ
- (x/y)ⁿ = xⁿ/yⁿ
- xᵐ/xⁿ = 1/xⁿ⁻ᵐ
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