Answer
(10²)⁴
(1/10⁻⁸)
10⁴ × 10⁴
10¹² ÷ 10⁴
1,000 × 100,000
10,000,000,000 ÷ 100
All of them are equal to 10⁸
Step-by-step explanation
The laws of indices will help us solve this
- When a variable carries a power and is raised to an extra power, the answer is the variable carrying the product of these two powers.
- When a variable is raised to the power of a negative number, this is the same as 1 over that variable raised to the positive value of that power
- When the same variable, carrying different powers are multiplied with each other, then, the result is that same variable raised to the power of the sum of the two powers from before multiplication.
So, some of the ways to write expressions that will give 10 raised to the power of 8 include
First one
(10²)⁴ = 10⁸
Second one
(1/10⁻⁸) = 10⁻⁽⁻⁸⁾ = 10⁸
Third one
10⁴ × 10⁴ = 10⁴⁺⁴ = 10⁸
Fourth one
10¹² ÷ 10⁴ = 10¹²⁻⁴ = 10⁸
Fifth one
1,000 × 100,000 = 100,000,000 = 10⁸
Sixth one
10,000,000,000 ÷ 100 = 100,000,000 = 10⁸
Hope this Helps!!!