1. Simplify using the order of operations:
This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Let's work through these calculations again.
1. Simplify using the order of operations:
*a) $5^2 - 2^2$
Step 1: Calculate the exponents.
$$5^2 = 25$$
$$2^2 = 4$$
Step 2: Perform the subtraction.
$$25 - 4 = 21$$
The simplified expression is $\boxed{21}$.
*b) $4^2 + 1^3$
Step 1: Calculate the exponents.
$$4^2 = 16$$
$$1^3 = 1$$
Step 2: Perform the addition.
$$16 + 1 = 17$$
The simplified expression is $\boxed{17}$.
*c) $10^3 + 8^2$
Step 1: Calculate the exponents.
$$10^3 = 1000$$
$$8^2 = 64$$
Step 2: Perform the addition.
$$1000 + 64 = 1064$$
The simplified expression is $\boxed{1064}$.
*d) $7^2 + 6^3$
Step 1: Calculate the exponents.
$$7^2 = 49$$
$$6^3 = 216$$
Step 2: Perform the addition.
$$49 + 216 = 265$$
The simplified expression is $\boxed{265}$.
*e) $9^2 - 2^4$
Step 1: Calculate the exponents.
$$9^2 = 81$$
$$2^4 = 16$$
Step 2: Perform the
