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).
Sum the exponents.
If you are multiplying numbers with exponents, and the base is the same, you can just add exponents. For example, 104 x 105 = 109.
The expression 3n times 3n can be simplified by multiplying the coefficients (3 * 3) and adding the exponents (n + n). This results in 9n^2, where n is raised to the power of 2. This simplification follows the rules of exponentiation, specifically the rule that states when multiplying two terms with the same base, you add the exponents.
It is the base raised to the exponent used in the numerator minus the exponent for the denominator. That is, a^x / a^y = a^(x-y)
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).
The exponent "product rule" tells us that, when multiplying two powers that The Product Rule is that when you have the same base, you can add the exponents.The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.
If you are multiplying powers of the same base (like 24 times 211), yes, you add the exponents.
The answer is positive.
Add the indices
The product rule says when multiplying two powers that have the same base, you can add the exponents. There are product rules used in calculus to find the product of derivatives, but that does not really have to do with exponents.The above answer translates to the following Algebra rule:xm * xn = xm+nHere is an example:x5 * x2 = x5+2 = x7
When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x
10 to the power of 15 when multiplying items with the same base (in this case 10) you simply add the powers
You add them.
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The answer is always positive (or 0).
Sum the exponents.