Question

Which shows the expressionbelow simplified. (8×10‐⁴)×0.08

Answer 1

Answer:

$(8 * 10^{-4}) * 0.08$ = $64 * 10^{-6}$ = $\frac{64}{10^6}$ = $\frac{64}{1000000}$ = $0.000064$

Step-by-step explanation:

Given

$(8 * 10^{-4}) * 0.08$

Required

Simplify

$(8 * 10^{-4}) * 0.08$

Express 0.08 as standard form

$(8 * 10^{-4}) * 8 * 10^{-2}$

Remove bracket

$8 * 10^{-4} * 8 * 10^{-2}$

Apply commutative property:

$8* 8 * 10^{-4} * 10^{-2}$

$64 * 10^{-4} * 10^{-2}$

Apply law of indices

$64 * 10^{-4-2}$

$64 * 10^{-6}$

Solving further:  Express $10^{-6}$ as fraction by applying law of indices

$64 * \frac{1}{10^6}$

$\frac{64}{10^6}$

$10^6 = 1000000$

So, we have:

$\frac{64}{1000000}$

Lastly:

$0.000064$

Hence:

$(8 * 10^{-4}) * 0.08$ = $64 * 10^{-6}$ = $\frac{64}{10^6}$ = $\frac{64}{1000000}$ = $0.000064$