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.
Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base. For example, in 23 two is the base.
If your multiplying two numbers with the same base you add the exponents. EX. 4^2 * 4^3 This means 4 to the 2nd power times 4 to the 3rd power. You just add the 2 and 3. Now it becomes: 4^5 Hope this helped!
Add the powers: eg 3 squared times 3 cubed = 3 to the fifth More generally, if b is the base (bx )(by )=bx+y
If you are multiplying powers of the same base (like 24 times 211), yes, you add the exponents.
When multiplying powers with the same base, you add the exponents due to the properties of exponents that define multiplication. This is based on the idea that multiplying the same base repeatedly involves combining the total number of times the base is used. For example, (a^m \times a^n = a^{m+n}) because you are effectively multiplying (a) by itself (m) times and then (n) times, resulting in a total of (m+n) multiplications of (a). This rule simplifies calculations and maintains consistency in mathematical operations involving exponents.
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.
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
I presume you mean you are multiplying two powers of the same base, where both exponents are negative. Regardless of the signs of the exponents, you algebraically add the exponents. For example, 2-3 times 2-4 is 2-7; 35 times 3-8 is 3-3.
You add them.
If the base numbers or variables are the same, you add the exponents.
This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.
when you multiply powers with the same base.
When multiplying terms with the same base, we add the exponents because of the fundamental property of exponents that states (a^m \times a^n = a^{m+n}). This property arises from the repeated multiplication of the base: for example, (a^m) represents multiplying the base (a) by itself (m) times, and (a^n) represents multiplying it (n) times. Therefore, when these two terms are multiplied, the total number of times the base (a) is multiplied is (m + n).
Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base. For example, in 23 two is the base.