Question

Simplify (5²⁰÷5⁵)×5³​

Answer 1

Given:

The expression -

→ (5²⁰ ÷ 5⁵) × 5³

What To Find:

We have to -

• Simplify the expression.

Solution:

→ (5²⁰ ÷ 5⁵) × 5³

Solve the brackets using the law - (aᵐ ÷ aⁿ) = aᵐ ⁻ ⁿ,

Where -

• a = 5
• m = 20
• n = 15

→(5²⁰ ⁻ ⁵) × 5³

Subtract 5 from 20,

→ 5¹⁵ × 5³

Using the law - (aᵐ × aⁿ) = aᵐ ⁺ ⁿ,

Where -

• a = 5
• m = 15
• n = 3

→ 5¹⁵ ⁺ ³

Add 15 and 3,

→ 5¹⁸

Laws Of Exponents Used:

1. (aᵐ ÷ aⁿ) = aᵐ ⁻ ⁿ
2. (aᵐ × aⁿ) = aᵐ ⁺ ⁿ

Final Answer:

∴ Thus, the answer is 5¹⁸ after simplifying the expression.

Answer 2

Answer: 5^18

Solution is in this picture!!

I hope it will help you!!