Question

Expression is equivalent to start fraction, 6, squared, divided by, 6, to the power 0 , end fraction, question mark

6
0

6
2

Answer 1

The expression equivalent to 62 / 60 is 36. This simplification is due to the rule that any nonzero number to the power of 0 equals 1, and 62 equals 6 multiplied by itself.

Step-by-step explanation:

Finding Equivalent Expressions Using Exponent Rules

To find an expression equivalent to 62 / 60, we need to apply the rules of exponents. First, we recognize that any non-zero number to the power of 0 is 1 (60 = 1), according to the rules of exponents. Thus, our expression simplifies to 62 / 1.

Since dividing by one has no effect on the value of the number, the simplified expression is 62, which equals 36. It's important to remember when performing operations with exponents, such as addition, subtraction, multiplication, and division, to apply the correct rules. For division, we subtract the exponents when the bases are the same, which yields a simplified form.

Additionally, negative exponents indicate the reciprocal of the number raised to the positive of the exponent, as seen in scientific notation. For example, 2.4 x 10-2 converts to 0.024 by moving the decimal place to the left twice.