Evaluate each expression. (4-2³)(-2+√25)

Question

Accepted Answer

Hello. Today we're going to be simplifying the given expression. So what we are given is the quantity 90 -3 to the power of four times the quantity negative plus the square root of 49. So let's go ahead and start by evaluating three to the power of four. Then evaluating the square root of 49. Three to the power of four can be rewritten as three times itself four different times and three times itself four different times is going to give us the value of 81 so we can replace three to the power of four with 81. Now Let's evaluate the square root of 49. 49 can be rewritten as seven times seven and the square root allows us to take out any numbers in multiples of two. So the square root of seven times seven is just going to give us seven. So we can replace the square root of 49 with seven. Now let's go ahead and plug these values back into the original expression. Doing this is going to give us 90 - times the quantity negative 18-plus 7. And let's go ahead and simplify the quantities that are inside of the parentheses. So 90 minus 81 is going to give us nine and negative 18 minus seven. I'm sorry negative 18 plus seven is going to give us negative 11. So what we are left with is positive nine times negative 11. And that's going to evaluate to give us -99 which is going to be the simplified version of the given expression. And with that being said, the answer to this problem is going to be C. So I hope this video helps you in understanding how to approach this problem, and I'll go ahead and see you all in the next video.

Evaluate each expression. (4-2³)(-2+√25)

Key Concepts

Order of Operations

Exponents

Square Roots

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