Exponent rules

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Write each expression as a single power. Then, calculate.
1. ${4^3}\; \times \;{4^4}$
2. ${3^2}\; \times \;{3^5}$
3. ${\left( { - 7} \right)^3}\; \times \;{\left( { - 7} \right)^3}$
Simplify each expression into a single power. Then, calculate.
1. ${\left( { - 3} \right)^6} \div {\left( { - 3} \right)^5}$
2. ${6^4} \div {6^1}$
3. ${\left( { - 5} \right)^6} \div {\left( { - 5} \right)^4}$
Rewrite each expression and then calculate.
1. Rewrite ${\left[ {2\; \times \left( { - 7} \right)} \right]^3}$ as the product of two powers. Then, calculate.
2. Rewrite ${\left( {{8^3}} \right)^6}$ as a single power. Then, calculate.
3. Rewrite ${\left( {\frac{7}{8}} \right)^6}$ as the quotient of two powers. Then, calculate.
Solve the following:
1. Calculate $\left( { - {5^0}} \right)\; \times \;\left( { - {5^0}} \right)\; \times \;\left( { - {5^0}} \right)$ .
Simplify each expression into a single power.
1. ${\left( {{2^2}} \right)^6}\; \times \;{2^3}$
2. $\frac{{{{\left( { - 6} \right)}^4}{{\left( { - 6} \right)}^2}}}{{{{\left( { - 6} \right)}^3}}}$