1. [tex] {6}^{2} [/tex]
Solution:
[tex] {2}^{2} \times {3}^{2} [/tex]
Multiply the terms with equal exponents by multiplying their bases
[tex](2 \times 3) ^{2} [/tex]
Multiply the numbers
[tex] {6}^{2} [/tex]
2. [tex] {11} [/tex]
Solution:
[tex] {10}^{0} + {10} [/tex]
Any non-zero expression raised to the power of 0 equals 1
[tex] {1} + {10} [/tex]
Add the numbers
[tex] {11} [/tex]
3. [tex] {5} [/tex]
Solution:
[tex] {4} \times {6}^{0} [/tex] + [tex] {3} \times {3}^{-1} [/tex]
Any non-zero expression raised to the power of 0 equals 1
[tex] {4} \times {1} [/tex] + [tex] {3} \times {3}^{-1} [/tex]
[tex] {4} \times {6}^{0} [/tex] + [tex] {3} \times {3}^{-1} [/tex]
Calculate the product
[tex] {4} \times {1} [/tex] + {1} [/times]
Any expression multiplied by 1 remain the same
[tex] {4} + {1} [/tex]
Add the numbers
[tex] {5} [/tex]
