Question

Simplify the following

Answer 1

Answer:

the answer for this question is 5^5

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Answer 2

Step-by-step explanation:

• (5^-4)/(5^-6) × 5^3

Now, using identity:-

→ a^m ÷ a^n = a^(m-n)

→ 5^-4 ÷ 5^-6 = 5^[-4-(-6)]

→ 5^-4 ÷ 5^-6 = 5^(-4+6)

→ 5^-4 ÷ 5^-6 = 5^2

→ 5^-4)/(5^-6) × 5^3 = 5^2 × 5^3

Now, using identity:-

→a^m × a^n = a^(m+n)

→ 5^2 × 5^3 = 5^(2+3)

→ 5^2 × 5^3 = 5^5

→ (5^-4)/(5^-6) × 5^3 = 5^5

→ (5^-4)/(5^-6) × 5^3 = 5×5×5×5×5

→ (5^-4)/(5^-6) × 5^3 = 3125

Therefore, on simplifying (5^-4)/(5^-6) × 5^3, we will get 3125 as our answer.

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