Attend live Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

Simplify (14π₯ΒΉβ° Γ· 7π₯β΄) + 4π₯βΆ, where π₯ β 0.

Simplify 14π₯ to the 10th divided by seven π₯ to the fourth plus four π₯ to the sixth, where π₯ is not equal to zero.

First, we must work inside the parentheses. So we need to divide. So we divide our numbers. 14 divided by seven is two. But now we need to divide like bases with exponents. When dividing with like bases, for example, π₯ to the π divided by π₯ to the π, we can subtract their exponents. So itβs equal to π₯ to the π minus π power. So we will have two π₯ to the 10 minus four power.

So before we add, we need to take 10 minus four, resulting in two π₯ to the sixth plus four π₯ to the sixth. We have a like basis of π₯. And adding with like bases is pretty simple. We simply add the numbers in front. And two plus four is six. And then we keep the like base of π₯ to the sixth power. So our final answer is six π₯ to the sixth power.

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy