(2/3)^4 = (2^4)/(3^4) = 16/81
2^4 * 2^3 16 * 8 128
8 to the power (2/3) equals 4.
(4^5)x(4^-3)=(4^2)=16
The browser used by Answers.com is not up to the formatting, but consider 2 to the power 3 to the power 4. (2 to the power 3) to the power 4 = 8 to the power 4 = 4096 while 2 to the power (3 to the power 4) = 2 to the power 81 = 3.9*10154 (approx). These two values are not equal and this, therefore, acts as an example showing that exponentiation is not associative.
3 to the third power (3^3) is equal to 27. 4 to the third power (4^3) is equal to 64. Combining the 2 answers (27*64) we have 1968.
2 to the 2 power = 4 -3 to the 2 power = 9 4 to the 2 power = 16 You don't indicate what to do to the 4, but 9 + 16 = 25
The GCF of 108 and 144 is 36, or 2^2 x 3^2
64 can be expressed as a power of 2 and a power of 4. As a power of 2, it is (2^6) since (2^6 = 64). As a power of 4, it is (4^3) because (4^3 = (2^2)^3 = 2^6 = 64).
2^4 * 2^3 16 * 8 128
9 4 4 3 2 I would make a guess at 2 to the power (3 to the power (4 to the power (4 to the power 9))) but I haven't checked it.
2 to the power of 3 equals 8...2 times 2 is 4 and 4 times 2 is 8.
8 to the power (2/3) equals 4.
To simplify the expression (\frac{3^{-4} \cdot 2^3 \cdot 3^2}{2^4 \cdot 3^n}), first combine the powers of 3 in the numerator: (3^{-4 + 2} = 3^{-2}). The expression becomes (\frac{3^{-2} \cdot 2^3}{2^4 \cdot 3^n}). Next, simplify the powers of 2: (\frac{2^3}{2^4} = 2^{-1}). Thus, the simplified expression is (\frac{2^{-1} \cdot 3^{-2}}{3^n} = \frac{2^{-1}}{3^{n+2}}).
(4^5)x(4^-3)=(4^2)=16
8^(2/3) 8^(1/3) = 2, 2^2 = 4 -> 8^(2/3) = 4
467
The browser used by Answers.com is not up to the formatting, but consider 2 to the power 3 to the power 4. (2 to the power 3) to the power 4 = 8 to the power 4 = 4096 while 2 to the power (3 to the power 4) = 2 to the power 81 = 3.9*10154 (approx). These two values are not equal and this, therefore, acts as an example showing that exponentiation is not associative.