(1.28×10raise to power 4) ÷(6.4×10 raise to power 2) equals?
online, indicate powers with ^ and multiplication with * (to avoid confusion with the variable x)
So, that means we have
1.28*10^4 ÷ 6.4*10^2 = (1.28÷6.4)*(16^4÷10^2)
= 0.2*10^2 = 2.0*10^1
To solve this division problem involving numbers written in scientific notation, you can use the rules of exponents.
Step 1: Divide the two numbers as normal, ignoring the exponents.
(1.28 × 10^4) ÷ (6.4 × 10^2) = 0.2
Step 2: Divide the exponents by subtracting them.
10^4 ÷ 10^2 = 10^(4-2) = 10^2
Step 3: Combine the numerical answer from Step 1 with the exponent result from Step 2.
0.2 × 10^2 = 2 × 10^(-1)
Therefore, (1.28 × 10^4) ÷ (6.4 × 10^2) is equal to 2 × 10^(-1) or 0.2.