Apply the properties of integer exponents to generate an equivalent algebraic expression to (4x4y−4)3(x7y3)2.(1 point)
Responses
64x20
Start Fraction 64 over x superscript 20 baseline End Fraction
4x2y18
Start Fraction 4 over x squared y superscript 18 baseline End Fraction
x2y1864
Start Fraction x squared y superscript 18 baseline over 64 End Fraction
64x2y18
5 answers
The equivalent algebraic expression to (4x4y−4)3(x7y3)2 is 64x2y18.
is
Start Fraction 64 over x superscript 20 End Fraction an equivalent algebraic expression.
Apply the product rule of integer exponents to find the numerical equivalent of 12−5⋅127. Show your work and explain how you used the product rule of integer exponents.(2 points)
To find the numerical equivalent of 12^(-5) * 127, we can apply the product rule of integer exponents.
The product rule states that when multiplying two numbers with the same base, you can add their exponents.
In this case, we have 12^(-5) multiplied by 12^7. Since the bases are the same (12), we can add the exponents (-5 + 7) to get (-5 + 7) = 2.
So, 12^(-5) * 12^7 is equivalent to 12^2.
To calculate the numerical value, we just need to evaluate 12^2, which is 144.
Therefore, the numerical equivalent of 12^(-5) * 127 is 144.
The product rule states that when multiplying two numbers with the same base, you can add their exponents.
In this case, we have 12^(-5) multiplied by 12^7. Since the bases are the same (12), we can add the exponents (-5 + 7) to get (-5 + 7) = 2.
So, 12^(-5) * 12^7 is equivalent to 12^2.
To calculate the numerical value, we just need to evaluate 12^2, which is 144.
Therefore, the numerical equivalent of 12^(-5) * 127 is 144.
0 answers