Question

Simplify, giving Solution with positive index

(a¹⁰)¹⁰ (1⁶)¹⁰

Answer 1

(a¹⁰)¹⁰ (1⁶)¹⁰ 

Using the rule (a^m)ⁿ = a^m×n, we can simplify (a¹⁰)¹⁰ as:

(a¹⁰)¹⁰ = a^10×10 = a¹⁰⁰

We can express 16 as 16 = 2⁴ so:

(16)¹⁰ = (24)¹⁰

Using the power of a power rule again, we get: (2⁴)¹⁰ = 2^4×10 = 2⁴⁰

Now, the expression becomes:

a¹⁰⁰×2⁴⁰

The simplified expression is: a¹⁰⁰ × 2⁴⁰