Which expression is correctly developed to use the power rule of exponents(
(7^(8)) . (7^(10))
(-5)^(8)
(7^(4))^(8)
12^(9)
The expression that is correctly developed to use the power rule of exponents is:
(7^(8)) . (7^(10)) = 7^(8+10) = 7^(18)
which of the following correctly used the power rule of exponents in the expressions (10^(9))(7)
90^(7)
10^(63)
10^(16)
10^(2)
The expression that correctly uses the power rule of exponents is:
(10^(9))(7) = 10^(9+1) = 10^(10)
if the expression 4^(10) was simplified using the power rule of exponents what is an equivalent expanded expression
The equivalent expanded expression, when simplifying 4^(10) using the power rule of exponents, would be:
4^(10) = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
Use the power rule of exponents to create an expression equivalent to ((15^(6))(2)
Using the power rule of exponents, the equivalent expression to ((15^(6))(2)) can be written as:
(15^(6))(2) = 15^(6+1) = 15^(7)
what exponent would make the two expressions equivalent ((3^(9))(x) = (3^(24)
To make the two expressions ((3^(9))(x) and (3^(24)) equivalent, the value of x would need to be:
x = 3^(24-9) = 3^15
To correctly use the power rule of exponents, we need to remember that when we multiply two expressions with the same base, we add their exponents. When an expression is raised to another exponent, we multiply the exponents.
1) For the expression (7^(8)) . (7^(10)), the base is the same, which is 7. Using the power rule, we can add the exponents:
(7^(8)) . (7^(10)) = 7^(8+10) = 7^18
2) For the expression (-5)^(8), we simply raise -5 to the power of 8:
(-5)^(8)
3) For the expression (7^(4))^(8), we multiply the exponents:
(7^(4))^(8) = 7^(4*8) = 7^32
4) For the expression 12^(9), we raise 12 to the power of 9:
12^(9)
So, the correctly developed expressions are:
1) 7^18
2) (-5)^8
3) 7^32
4) 12^9