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Why do we add the exponents when we multiply terms with the same base?
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What is the rule for multiply numbers with the same base but different exponents?
base x base result x Exponent
What property can you use to multiply the expressions with exponents?
The Addition Property of Exponents. To multiply powers with the same base, add the exponents. e.g. 34 x 37 = 311, x2x3 = x5, and (3x2yz3)(2x5y2z) = 6x7y3z4.
What does it mean to multiply two powers having the same base and 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.
How do you solve multiplication with like terms?
Just multiply the coefficients, leave the variable the same, and add the exponents.
Why don't we change the exponents during like terms?
Exponents are higher in priority in terms of the order of operations, and do not combine in the same way as you would simple add/subtract/multiply/divide. So, if you have: 26 + 24 This is a polynomial in base 2 with different powers. It would be this in binary: 1010000 ...which would not be the same as 210: 1000000000 In order to be able to change exponents, you have to be multiplying factors using the same base, as in: 26 * 24 = 210 ...because the exponents are also indicating how many times you are multiplying each base by itself, and multiplication is the same as the basal function of the exponent (repeated multiplication).
When multiplying terms with the same base you do what to the exponents?
Sum the exponents.
When do add exponents?
when you multiply powers with the same base.
When multiplying a number exponents that are squared do you add or multiply?
If the base numbers or variables are the same, you add the exponents.
What is the rule for multiply numbers with the same base but different exponents?
base x base result x Exponent
What property can you use to multiply the expressions with exponents?
The Addition Property of Exponents. To multiply powers with the same base, add the exponents. e.g. 34 x 37 = 311, x2x3 = x5, and (3x2yz3)(2x5y2z) = 6x7y3z4.
What does it mean to multiply two powers having the same base and 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.
How do you solve multiplication with like terms?
Just multiply the coefficients, leave the variable the same, and add the exponents.
Why don't we change the exponents during like terms?
Exponents are higher in priority in terms of the order of operations, and do not combine in the same way as you would simple add/subtract/multiply/divide. So, if you have: 26 + 24 This is a polynomial in base 2 with different powers. It would be this in binary: 1010000 ...which would not be the same as 210: 1000000000 In order to be able to change exponents, you have to be multiplying factors using the same base, as in: 26 * 24 = 210 ...because the exponents are also indicating how many times you are multiplying each base by itself, and multiplication is the same as the basal function of the exponent (repeated multiplication).
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).
Multiply and simplify 5 to the 9th power X 5 to the 7th power?
Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.
What is terms with the same variables raised to the same exponents?
like terms
Terms with the same variables raised to the same exponents?
like terms
