3 answers
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work the parentheses from the inside out
or use exponent laws ... 4^8
[(4^2)^2]^2
or use exponent laws ... 4^8
First, let's simplify the exponent of 4^2:
4^2 = 4 * 4 = 16
Now, we substitute the simplified value back into the expression:
[(4^2)^2]^2 = [(16)^2]^2
Next, let's simplify the exponent of (16)^2:
(16)^2 = 16 * 16 = 256
Now, we substitute the simplified value back into the expression:
[(16)^2]^2 = (256)^2
Finally, let's simplify the exponent of (256)^2:
(256)^2 = 256 * 256 = 65,536
Therefore, the simplified expression is 65,536.