Questions: a. 7^3= b. (13^2)= c. sqrt(64)= d. (81)^(1 / 2)= e. 5^5= f. (5+6)^2= g. 6+3^6=

a. 7^3=
b. (13^2)=
c. sqrt(64)=
d. (81)^(1 / 2)=
e. 5^5=
f. (5+6)^2=
g. 6+3^6=
Transcript text: a. $7^{3}=$ b. $\left(13^{2}\right)=$ c. $\sqrt{64}=$ d. $(81)^{1 / 2}=$ e. $5^{5}=$ f. $(5+6)^{2}=$ g. $6+3^{6}=$
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Solution

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Solution Steps

To solve the given mathematical expressions, we will use Python's built-in arithmetic operations.

a. Calculate \(7^3\). b. Calculate \(13^2\). c. Calculate \(\sqrt{64}\).

Step 1: Calculate \(7^3\)

To find \(7^3\), we multiply 7 by itself three times: \[ 7^3 = 7 \times 7 \times 7 = 343 \]

Step 2: Calculate \(13^2\)

To find \(13^2\), we multiply 13 by itself: \[ 13^2 = 13 \times 13 = 169 \]

Step 3: Calculate \(\sqrt{64}\)

To find \(\sqrt{64}\), we determine the number which, when squared, equals 64: \[ \sqrt{64} = 8.0 \]

Final Answer

\[ \boxed{7^3 = 343} \] \[ \boxed{13^2 = 169} \] \[ \boxed{\sqrt{64} = 8.0} \]

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