which expression is correctly developed to use the power rule of exponents
A) (7^8) X (7^10)
B) (-5)^0
C) (7^4)^8
D)12^9
A) (7^8) X (7^10)
if the expression 4^10 was simplified using the power rule of exponents what is equivalent expanded expression?
A) *4^12)^2
B) (4^2)^8
C) 4 x 4 x 4 x 4 x 4 x 4 x 4
D) (4^5)^2
C) 4 x 4 x 4 x 4 x 4 x 4 x 4
Use the power rule of exponents to create an expression equivalent to (15^6)
A) 15^8
B) 15^3
C) 15^12
D) 15^4
C) 15^12
what exponent would make the two expressions equivalent: (3^3)^x+3^24
what exponent would make the two expressions equivalent: (3^3)^x+3^24
A) 27
B) 15
C) 8
D) 21
The power rule of exponents states that when you have an exponent raised to another exponent, you multiply the exponents together. To identify the correct expression that uses the power rule, let's analyze each option.
A) (7^8) X (7^10)
In this expression, you have two exponents being multiplied. The power rule does not involve multiplication of exponents. So, this is not the correct application of the power rule.
B) (-5)^0
In this expression, you have an exponent of 0. According to the power rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, this is the correct application of the power rule.
C) (7^4)^8
In this expression, you have an exponent raised to another exponent. According to the power rule, you multiply the exponents together. So, (7^4)^8 would be equal to 7^(4*8) = 7^32. This is the correct application of the power rule.
D) 12^9
In this expression, you have a single exponent without any other exponents involved. The power rule is not applicable here since it involves exponents raised to other exponents. So, this is not the correct application of the power rule.
Therefore, the correct expression that uses the power rule of exponents is C) (7^4)^8.