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How do you multiply exponents when the bases are not the same?
u cant they have to be the same (:
What is 6r times 5r to the second power simplified?
To simplify the expression 6r * 5r^2, you first multiply the coefficients (6 * 5 = 30) and then multiply the variables with the same base by adding their exponents (r * r^2 = r^(1+2) = r^3). Therefore, the simplified expression is 30r^3.
What is a rule that works for multiplying powers of the same base in exponents?
To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).
When multiplying terms with the same base you do what to the exponents?
Sum the exponents.
What are the rules for positive integral exponent?
There are 5 laws: Product Law: This is when the same bases are being multiplied ex. 83 X 82 this is the same as 8x8x8 8x8 when the same bases are being multiplied you just add the exponents so the answer would be 85 Quotient Law: This is when the same bases are being divided. ex. 83 divided by 82 in other words 8x8x8 divided by 8x8 when the same bases are being divided you just subtract the exponents so the answer would be 81 Power of product law: here is an example : (8x3)2 in this problem all you have to do is apply the exponent to each number in side the bracket or multiply the exponent to each exponent inside the brackets, if there is no exponent you assume there is a 1 so you would do 8 1x2 and 3 1x2 and the answer would be 82x32 Power of quotient law: this is the same as the one above, you basically just multiply the exponent to the numbers inside the brackets. So if it was (8 divided by 3)4 you would assume there is an exponent 1 for both the numbers and multiply by four. 8 1x4 divided by 31x4 = 84 divided by 34 Power of a power law: What do you do if there is already an exponent inside the brackets? ex. (84)5 you would do the same thing. You multiply the exponents! if you put the question in standard form it is 8x8x8x8 repeated five times 8x8x8x8 8x8x8x8 8x8x8x8 8x8x8x8 8x8x8x8 how many 8s are there? 20 how do you solve in a much simpler way? you do 84x5 and get the 820
