solve this problem using the power rule (10x^8) x (10x^10) =
10x^8 * 10x^10
=10*10 * x^8*x*10
=100 * x^(8+10)
=100x^18
(10x^8)*(10x^10)=10^(8+10)=10^18
To solve this problem using the power rule, we need to apply the rule for multiplying two terms with the same base.
The power rule states that when multiplying two terms with the same base, we can add their exponents. In this case, the base is 10x.
So, let's apply the power rule to the given expression: (10x^8) x (10x^10)
Step 1: Multiply the numerical coefficient, 10, and keep the base, 10x.
Result: 10 x 10x = 100x
Step 2: Add the exponents of the variable x, which are 8 and 10.
Result: x^(8 + 10) = x^18
Putting it all together, the simplified expression is 100x^18.
Therefore, (10x^8) x (10x^10) = 100x^18.
Remember, when applying the power rule, we multiply the numerical coefficients and keep the base, then add the exponents of the variables.