4^2 times 4^2 =_
11 answers
To evaluate \(4^2 \times 4^2\), we can first simplify each part:
\[ 4^2 = 16 \]
Now substituting back into the expression:
\[ 4^2 \times 4^2 = 16 \times 16 \]
Calculating \(16 \times 16\):
\[ 16 \times 16 = 256 \]
Alternatively, we can use the property of exponents that states \(a^m \times a^n = a^{m+n}\):
\[ 4^2 \times 4^2 = 4^{2+2} = 4^4 \]
Calculating \(4^4\):
\[ 4^4 = 256 \]
Thus, the final answer is:
\[ \boxed{256} \]
To simplify the expression \(\frac{8^5}{8^3}\), we can use the property of exponents which states that \(\frac{a^m}{a^n} = a^{m-n}\).
Applying this property here:
\[ \frac{8^5}{8^3} = 8^{5-3} = 8^2 \]
Next, we calculate \(8^2\):
\[ 8^2 = 64 \]
Therefore, the simplified result is:
\[ \boxed{64} \]
To evaluate \(3^2 \times 3^2\), we can first simplify each part:
\[ 3^2 = 9 \]
Now substituting back into the expression:
\[ 3^2 \times 3^2 = 9 \times 9 \]
Calculating \(9 \times 9\):
\[ 9 \times 9 = 81 \]
Alternatively, we can also use the property of exponents, which states that \(a^m \times a^n = a^{m+n}\):
\[ 3^2 \times 3^2 = 3^{2+2} = 3^4 \]
Calculating \(3^4\):
\[ 3^4 = 81 \]
Thus, the final answer is:
\[ \boxed{81} \]
To simplify the expression \(\frac{2^8}{2^6}\), we can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).
Applying this property here:
\[ \frac{2^8}{2^6} = 2^{8-6} = 2^2 \]
Next, we calculate \(2^2\):
\[ 2^2 = 4 \]
Therefore, the simplified result is:
\[ \boxed{4} \]
To evaluate \(4^2 \times 4^2\), we can use the properties of exponents. According to the property \(a^m \times a^n = a^{m+n}\), we have:
\[ 4^2 \times 4^2 = 4^{2+2} = 4^4 \]
Now, we calculate \(4^4\):
\[ 4^4 = 4 \times 4 \times 4 \times 4 = 16 \times 16 = 256 \]
Thus, the final answer is:
\[ \boxed{256} \]
To evaluate \(5^2 \times 7^2\), we can use the property of exponents that allows us to separate the bases:
\[ 5^2 \times 7^2 = (5 \times 7)^2 \]
Calculating \(5 \times 7\):
\[ 5 \times 7 = 35 \]
Thus, we have:
\[ (5 \times 7)^2 = 35^2 \]
Now, calculating \(35^2\):
\[ 35^2 = 1225 \]
So, the final answer is:
\[ \boxed{1225} \]
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