3^4 x 4^2 = 4 – ?
(2^3)^4 = 2 – ?
The power of a power, multiply the exponents – ?
Powers with the same base, add the exponents – ?
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Let’s tackle your questions one at a time!
1. For the equation (3^4 times 4^2 = 4 – ?):
– First, calculate (3^4 = 81) and (4^2 = 16). Then multiply:
[
81 times 16 = 1296
]
– Now we need to rewrite the equation:
[
1296 = 4 – x
]
– So, rearranging gives (x = 4 – 1296) which would be (x = -1292).
2. For the equation ((2^3)^4 = 2 – ?):
– Using the rule of powers, ((a^m)^n = a^{m cdot n}):
[
(2^3)^4 = 2^{3 cdot 4} = 2^{12}
]
– So we have (2^{12} = 2 – x).
– If we equate them, we find (x = 2 – 2^{12}) which is a large negative number.
3. The statement “The power of a power, multiply the exponents”:
– This rule states that when you have an exponent raised to another exponent, you multiply the exponents together. For