Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 13, 2024

Calculate $8 \times 10^{18} \div 4 \times 10^{3}$ and express the result in standard form.

STEP 1

Assumptions
1. We are given the expression $\left(8 \times 10^{18}\right) \div\left(4 \times 10^{3}\right)$ .
2. We need to simplify the expression and give the answer in standard form.

STEP 2

We will use the properties of exponents and division to simplify the expression. First, we divide the coefficients (the numbers in front of the powers of 10).
$\frac{8}{4} = 2$

STEP 3

Next, we use the property of exponents that states when dividing powers of the same base, we subtract the exponents.
$10^{18} \div 10^{3} = 10^{18-3} = 10^{15}$

STEP 4

Combine the results from STEP_2 and STEP_3 to get the final answer in standard form.
$\left(8 \times 10^{18}\right) \div\left(4 \times 10^{3}\right) = 2 \times 10^{15}$
The answer in standard form is $2 \times 10^{15}$ .

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