What is the product of 5.2×10^(4) and 1.3×10^(-2)? A. 6.76×10^(8) B. 6.76×10^(2) C. 6.76×10^(-2) D. 6.76×10^(-8)

Question

What is the product of 5.2×
`10^(4)` and 1.3×
`10^(-2)`?

A. 6.76×
`10^(8)`
B. 6.76×
`10^(2)`
C. 6.76×
`10^(-2)`
D. 6.76×
`10^(-8)`

Answer 1

B. 6.76 x 10²

Explanation:

5.2 ×
`10x^(4)` (1.3 ×
`10x^(-2)`) Subtract the exponents to get a common exponent

5.2 x 1.3 x 10² Multiply

6.76 x 10²

Answer 2

6.76 × 10²

Explanation:

5.2 ×
`10^(4)` × 1.3 × [/tex]10^{-2}[/tex]

= 5.2 × 1.3 ×
`10^(2)`

= 6.76 × 10²