Question

Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.? (5 points) a 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6. b 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0 c 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0 d 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.

Answer 1

The expression (3^2 * 5^0) / 4 squared simplifies to 81 over 16 because 5^0 equals 1 and after squaring both the numerator (9) and the denominator (4), we get 81 over 16.

Step-by-step explanation:

The question requires us to simplify the expression (3^2 \times 5^0) \over 4 and then square the result. Let's start by simplifying the expression step-by-step:

• First, remember that any number to the power of zero is 1, so 5^0 equals 1.
• Next, since 3^2 = 3 \times 3, we have 9 \times 1, which is just 9.
• So the expression simplifies to 9 \over 4.
• Now, squaring the entire expression involves squaring both the numerator and the denominator separately. Therefore, the square of 9 is 81 and the square of 4 is 16.
• The final simplified form of the given expression is 81 \over 16.

Thus, the correct answer is d: (3 to the power of 2 multiplied by 1 whole over 4, the whole squared) equals (3 to the power of 4 multiplied by 1 squared over 4 squared) equals 81 \over 16.