Simplify the expression using exponent rules. (−5a2)(3a8)\left(-5a^2\right)\left(3a^8\right)(−5a2)(3a8)

− 15 a 10 -15a^{10} − 15 a 10

Simplify the expression using exponent rules . ( − 5 a 2 ) ( 3 a 8 ) \left(-5a^2\right)\left(3a^8\right) ( − 5 a 2 ) ( 3 a 8 )

Welcome back, everyone. Let's try this practice problem here. So here I have negative 5 a squared times 3 a to the 8th power. So whenever you are multiplying numbers and variables, you can multiply numbers with numbers and variables with variables. So let's go ahead and do that. The 3 and the negative five multiply to 15, and then I have a squared times a to the 8th power. So which of the exponent rules am I gonna use here? I have the same base over here that's multiplied to 2 different exponents, So I can use the product rule. Hopefully, you have your table of rules handy. The product rule means that we can take this a and we can basically just add their exponents together. This is a to the 2 +8 power. And once you're done, you're gonna get negative 15 a to the 10th power. And that is your final answer. Can't simplify this any further, so that's the answer. Thanks for watching.