1.05 Evaluating expressions
Explain how to evaluate 4^{5}.
Explain how to determine if the answer is positive or negative when evaluating an expression with an integer power and negative base such as \left( - 7 \right)^{3}.
Consider the expressions \left( - 3 \right)^{2} and - 3^{2}.
Explain how to evaluate - 3^{2}.
Explain how to evaluate (- 3)^2.
Write 4^{3} in expanded form.
Now, evaluate 4^{3}.
Write \left( -2 \right)^{5} in expanded form.
Now, evaluate \left( -2 \right)^{5}.
Evaluate:
\left( - 4 \right)^{3}
- 5^{3}
Evaluate:
\left( - 11 \right)^{2} - \left( - 9 \right)^{2}
Evaluate:
Evaluate:
3^{3} \times 3^{2}
\left( - 2 \right)^{3} \times 3^{4}
\left( - 3 \right)^{2} \times \left( - 2 \right)^{2}
\dfrac{3^{5}}{3^{3}}
\dfrac{4^{4}}{4^{2}}
\dfrac{(-2)^{4}}{(-2)^{3}}
\dfrac{(-5)^{5}}{5^{3}}
Ralph tried to evaluate the expression 2 \times \left(3+2\right)^2. He thought that he had the right answer and submitted the following to his teacher: \begin{aligned} 2 \times \left(3+2\right)^2 &= 2 \times \left(5\right)^2 \\ &= 10^2 \\ & = 100 \end{aligned}
State the error Ralph made.
Write the correct work and answer.