Simplify this expression using the Quotient Rule of Integer Exponents: 1253÷753.(1 point)
Responses
1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline
5106
5 superscript 106 baseline
553
5 superscript 53 baseline
12106
To simplify this expression using the Quotient Rule of Integer Exponents, you need to subtract the exponents of the denominator from the exponents of the numerator. The simplified expression is 1253 ÷ 753 = 5^(12-7) = 5^5 = 553.
To simplify the expression 1253÷753 using the Quotient Rule of Integer Exponents, we can subtract the exponents in the denominator from the exponents in the numerator.
1253 ÷ 753 can be written as 12^53 ÷ 7^53.
Since the bases are the same, we subtract the exponents:
12^53 ÷ 7^53 = 5^(53 - 53) = 5^0.
Any number (except zero) raised to the power of zero is equal to 1. Therefore, 5^0 = 1.
So, the simplified expression is 1.
To simplify the expression using the Quotient Rule of Integer Exponents, we need to follow these steps:
Step 1: Determine the bases. In this case, the base is 5.
Step 2: Subtract the exponents. We have 12^53 divided by 7^53, so subtract the exponents: 53 - 53 = 0.
Step 3: Write the simplified expression. Since any number raised to the power of 0 is equal to 1, the simplified expression is 5^0.
Step 4: Evaluate the simplified expression. Any non-zero number raised to the power of 0 is equal to 1. Therefore, 5^0 = 1.
So, the simplified expression using the Quotient Rule of Integer Exponents is 1.