Simplify each exponential expression in Exercises 23–64. x^−5⋅x^1...

Question

Simplify each exponential expression in Exercises 23–64. x^−5⋅x^10

Accepted Answer

Hi there. So this problem says to consider the given exponential expression and to the six times into the third simplify this expression. So I'm gonna go ahead and write our expression. You have em to the 6th times m to the third. So you multiply those two together. However we both have different exponents. So we have to remember our exponent role from our lesson. This is the excellent role for multiplication. If we have two exponents X. To the M times X to the end, the result is just the sum of the exponents X. The power of M plus N. So let's go back to our problem. We have him to the 6th Times into the 3rd. If we go by our rule we will add our exponents together. Six plus three which is just M to the power of nut. No we don't have a negative exponent or anything here, we don't have any fractions or anything like that. So our final answer should just be M to the ninth. In other words we went answer a okay I hope to help you solve the problem. Thank you for watching. Goodbye

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