You add the exponents-
x^2*x^6=x^8
No.x^2 * y^2 = (x*y)^2You multiply the bases but the exponent remains the same.
18 x (a squared)
When you multiply variables with exponents, you add the exponents. So the answer is x^4. Of course in this case 2x2=2+2, but x^3 multiplied by x^2 is x^5 not x^6
For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.
The rule for multiplying with exponents 1) In order to multiply you must have the same base! ex: 3^2 * 3^5 3 is the base. When you multiply exponents, just add the exponents together and keep the same base. 3^2 * 3^5 = 3^7 Visually, this is what it looks like. 3^2 = 3 * 3 3^5 = 3*3*3*3*3 Since we're multiplying them together... 3*3 *( 3*3*3*3*3) All we do is count up how many times we're multiplying 3 by itself. I count 7 times. That means 3 is being raised to the 7th power, or 3^7. When you have an exponent raised to another exponent: example (5²)³ [five squared, then cubed], if you work it out long way: (5 * 5)³ = (5 * 5) * (5 * 5) * (5 * 5) = 56, so you multiply the exponents (2 * 6). This is just like multiplying being the same as repetitive addition.
When adding variables with exponents, you do neither. You only add the exponents if #1 The variables are the same character (such as they are both "a") #2 You are multiplying the variables (NOT ADDING, SUBTRACTING, OR DIVIDING) Using a simple concrete case may make this clearer: 10+2 times 10+3 equals 10+5 ( 100 times 1000 equals 100,000).
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.
When you multiply two variables with different exponents, the exponents are added. For example, if you multiply x^2 by x^3, the result is x^(2+3) = x^5. Similarly, if you multiply x^3 by x^(-2), the result is x^(3+(-2)) = x^1 = x.
No.x^2 * y^2 = (x*y)^2You multiply the bases but the exponent remains the same.
18 x (a squared)
x^2 * x^2 = x^4. When multiplying two variables with exponents, you simply have to add the exponents together, keeping the same variable. So in this case you'd add 2+2 to get a variable to the 4th power.
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!
You cannot ad or subtract variables with different exponents: the exponents must be the same. The coefficients are added or subtracted and the exponent of the answer is the common exponent. (The rules are similar to those for the denominators of fractions.)Thus 2x^2 + 5x^3 cannot be combined into a single term.while 2x^2 + 5x^2 = (2+5)*x^2 = 7x^2
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
1. Find the value of the exponent. 2. Multiply or divide normally.
When you multiply variables with exponents, you add the exponents. So the answer is x^4. Of course in this case 2x2=2+2, but x^3 multiplied by x^2 is x^5 not x^6
Raise a power to a power by multiplying the two exponents together; e.g. (x 2)3 is x6