To simplify the expression (4^3)^2/4^2, we can follow the order of operations (PEMDAS/BODMAS) which states that exponents should be simplified before division.
(4^3)^2 means we raise 4 to the power of 3 first, so (4^3)^2 = 64^2 = 4096.
Then we have 4096/4^2. Since 4^2 is 16, we can substitute it into the expression:
4096/16 = 256.
Therefore, the equivalent single power to the expression (4^3)^2/4^2 is 256.
which single power is a equivalent to the expression (4^3)^2/ 4^2 ?
3 answers
which single power is equivalent to the expression 7^5 x (7^4)^3
To simplify the expression, we need to follow the order of operations and simplify the exponents first.
Recall that when you raise a power to another power, you multiply the exponents.
First, simplify the exponent of (7^4)^3:
(7^4)^3 = 7^(4*3) = 7^12.
Now, the expression becomes 7^5 x 7^12.
When multiplying powers with the same base, you add the exponents.
Thus, 7^5 x 7^12 = 7^(5+12) = 7^17.
Therefore, the equivalent single power to the expression 7^5 x (7^4)^3 is 7^17.
Recall that when you raise a power to another power, you multiply the exponents.
First, simplify the exponent of (7^4)^3:
(7^4)^3 = 7^(4*3) = 7^12.
Now, the expression becomes 7^5 x 7^12.
When multiplying powers with the same base, you add the exponents.
Thus, 7^5 x 7^12 = 7^(5+12) = 7^17.
Therefore, the equivalent single power to the expression 7^5 x (7^4)^3 is 7^17.
1 answer