Final answer:
To evaluate the expression 03(81) without a calculator, we need to follow the order of operations and perform the exponents first. The expression simplifies to 531441.
Step-by-step explanation:
To evaluate the expression 03(81) without using a calculator, we need to follow the order of operations, which is often remembered using the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this expression, we have an exponent, so we should start by evaluating it first.
The exponent 3 means that we need to multiply 81 by itself three times: 81 x 81 x 81. We can simplify this by multiplying 81 by 81, and then multiplying the result by 81 again.
81 x 81 = 6561
6561 x 81 = 531441
Therefore, 03(81) is equal to 531441.
Learn more about Order of Operations