Using the Product Rule of Exponents, what is an equivalent form of 8^2⋅8^6
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According to the Product Rule of Exponents, when multiplying exponential expressions with the same base, we add the exponents. Thus, an equivalent form of 8^2⋅8^6 is 8^(2+6) which simplifies to 8^8.
Using the Product Rule of Exponents, what is an equivalent form of 2^6⋅2^3 ?(1 point) Responses 2^18 2 superscript 18 baseline 2^3 2 cubed 2^9 2 superscript 9 baseline 2^2
According to the Product Rule of Exponents, when multiplying exponential expressions with the same base, we add the exponents. Thus, an equivalent form of 2^6⋅2^3 is 2^(6+3) which simplifies to 2^9.
Apply the Product Rule of Exponents to form an equivalent expression of 1^6⋅1^2⋅1^1 .(1 point) Responses 169 1 superscript 9 baseline 1^12 1 superscript 12 baseline 1^3 1 cubed 1^13
According to the Product Rule of Exponents, when multiplying exponential expressions with the same base, we add the exponents. In this case, we have 1^6⋅1^2⋅1^1, and since all the bases are 1, any number raised to the power of 1 is still itself. Therefore, an equivalent expression of 1^6⋅1^2⋅1^1 is simply 1^6⋅1^2⋅1^1, which equals 1.
WRONG
I apologize for the mistake. You are correct. According to the Product Rule of Exponents, when multiplying exponential expressions with the same base, we add the exponents. In this case, we have 1^6⋅1^2⋅1^1.
The exponent for 1^6 is 6, the exponent for 1^2 is 2, and the exponent for 1^1 is 1. Adding these exponents together, we get:
1^6⋅1^2⋅1^1 = 1^(6+2+1) = 1^9
Therefore, an equivalent expression for 1^6⋅1^2⋅1^1 is 1^9.
The exponent for 1^6 is 6, the exponent for 1^2 is 2, and the exponent for 1^1 is 1. Adding these exponents together, we get:
1^6⋅1^2⋅1^1 = 1^(6+2+1) = 1^9
Therefore, an equivalent expression for 1^6⋅1^2⋅1^1 is 1^9.
Using the Product Rule of Exponents, what is an equivalent form of (13)6⋅(13)3 ?(1 point) Responses (13)2 left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis squared (13)18 left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 18 baseline (13)9 left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 9 baseline (13)3
According to the Product Rule of Exponents, when multiplying exponential expressions with the same base, we add the exponents. Thus, an equivalent form of (13)^6⋅(13)^3 is (13)^(6+3), which simplifies to (13)^9.
find the product of 25⋅25 using the Product Rule of Exponents.(1 point) Responses 1,024 1,024 0 0 1 1 20
To find the product of 25⋅25 using the Product Rule of Exponents, we need to write both numbers with the same base. 25 can be written as 5².
So, we have 5²⋅5². According to the Product Rule of Exponents, we add the exponents when multiplying exponential expressions with the same base.
Therefore, 5²⋅5² simplifies to 5^(2+2) which gives us 5^4.
Therefore, the product of 25⋅25 is 5^4, which is equal to 625.
So, we have 5²⋅5². According to the Product Rule of Exponents, we add the exponents when multiplying exponential expressions with the same base.
Therefore, 5²⋅5² simplifies to 5^(2+2) which gives us 5^4.
Therefore, the product of 25⋅25 is 5^4, which is equal to 625.
FIND THE PRODUT 2^5* 2^5
To find the product of 2^5 * 2^5, we can use the Product Rule of Exponents. According to the rule, when multiplying exponential expressions with the same base, we add the exponents.
In this case, we have 2^5 * 2^5. Since the base is 2, and the exponents are both 5, we can simplify this expression by adding the exponents:
2^5 * 2^5 = 2^(5 + 5) = 2^10
Therefore, the product of 2^5 * 2^5 is 2^10.
In this case, we have 2^5 * 2^5. Since the base is 2, and the exponents are both 5, we can simplify this expression by adding the exponents:
2^5 * 2^5 = 2^(5 + 5) = 2^10
Therefore, the product of 2^5 * 2^5 is 2^10.
find the product of 2^5⋅2^5 using the Product Rule of Exponents.(1 point) Responses 1,024 1,024 0 0 1 1 20
To find the product of 2^5 * 2^5 using the Product Rule of Exponents, we add the exponents.
2^5 represents 2 raised to the power of 5, and 2^5 * 2^5 means we are multiplying two expressions with the same base, 2, and the same exponent, 5.
Therefore, we can simplify this expression by adding the exponents:
2^5 * 2^5 = 2^(5 + 5) = 2^10
Therefore, the product of 2^5 * 2^5 is 2^10, which is equal to 1,024.
2^5 represents 2 raised to the power of 5, and 2^5 * 2^5 means we are multiplying two expressions with the same base, 2, and the same exponent, 5.
Therefore, we can simplify this expression by adding the exponents:
2^5 * 2^5 = 2^(5 + 5) = 2^10
Therefore, the product of 2^5 * 2^5 is 2^10, which is equal to 1,024.
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