Exponents & Their Properties Unit Test
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Question
Using the Product Rule of Exponents, what is an equivalent form of 95⋅92 ?(1 point)
Responses
910
9 superscript 10 baseline
97
9 superscript 7 baseline
93
9 cubed
9(52)
9 superscript left parenthesis Start Fraction 5 over 2 End Fraction right parenthesis baseline
The correct answer is 97.
To find an equivalent form of 95⋅92 using the Product Rule of Exponents, we need to add the exponents. In this case, the base is 9 and the exponents are 5 and 2.
The Product Rule states that when multiplying two numbers with the same base, you add the exponents.
So, 95⋅92 is equivalent to 9(5+2) = 9^7.
Therefore, the correct response is: 9 superscript 7 baseline.
To find an equivalent form of 95⋅92 using the Product Rule of Exponents, we need to multiply the base (9) and combine the exponents (5 and 2).
The Product Rule of Exponents states that when multiplying two numbers with the same base, the exponents can be added.
In this case, we have 9 to the power of 5 (95) multiplied by 9 to the power of 2 (92).
To find the equivalent form, we add the exponents:
95⋅92 = 97
Therefore, the equivalent form of 95⋅92 is 9 to the power of 7 (9^7).