Which expression is correctly developed to use the power rule of exponents?
A. 12^9
B. (-5)^0
C. (7^4)^8
D. (7^8) • (7^10)
The expression that is correctly developed to use the power rule of exponents is:
D. (7^8) • (7^10)
According to the power rule of exponents, when multiplying two numbers with the same base, the exponents can be added together. In this case, both exponents are 7. Therefore, the expression can be simplified as:
7^(8 + 10) = 7^18
Which of the following correctly used the power rule of exponents in the expression (10^9)^7?
The expression (10^9)^7 correctly uses the power rule of exponents when the exponents are multiplied together. Therefore, the correct expression is:
(10^(9 * 7)) = (10^63)
If the expression 4^10 was simplified using the power rule of exponents which is an equivalent expanded expression?
The expression 4^10 simplified using the power rule of exponents is:
(4^10) = 4^10
The power rule of exponents states that when raising a power to another power, the exponents are multiplied together. In this case, the exponent is already 10, so there is no need to further expand or simplify the expression.
If the expression 4^10 was simplified using the power rule of exponents which is an equivalent expanded expression
A. (4^12)^2
B. 4 • 4 • 4 • 4 • 4 • 4 • 4
C. (4^2)^8
D. (4^5)^2
If the expression 4^10 is simplified using the power rule of exponents, the equivalent expanded expression would be:
B. 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4
This is because the power rule of exponents states that when a number is raised to a power, you multiply the base number by itself the number of times indicated by the exponent. In this case, 4^10 means multiplying 4 by itself 10 times.
Use the power rule of exponents to create an expression equivalent to (15^6)^2
To simplify the expression (15^6)^2, we can apply the power rule of exponents, which states that when a power is raised to another power, we multiply the exponents. Here's how we can simplify the expression:
(15^6)^2 = 15^(6 * 2)
Simplifying further:
15^(6 * 2) = 15^12
Therefore, an equivalent expression would be 15^12.