Simplify this expression using the Quotient Rule of Integer Exponents: t400t100

9 answers

To simplify the expression t400t100 using the Quotient Rule of Integer Exponents, we can subtract the exponents.

t400t100 = t(400-100) = t^300
Simplify a67/b34.
To simplify the expression a67/b34, we can divide the exponents using the Quotient Rule of Integer exponents.

a67/b34 = a^(67-34)/b^34 = a^33/b^34
Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332
To apply the Quotient Rule of Integer Exponents to simplify 2365 ÷ 2332, we subtract the exponents.

2365 ÷ 2332 = 2^(365-332) = 2^33
Quotient Rule of Exponents Quick Check
4 of 54 of 5 Items
Question
Simplify this expression using the Quotient Rule of Integer Exponents: 1253÷753.(1 point)
Responses

553
5 superscript 53 baseline

5106
5 superscript 106 baseline

1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline

12106
To apply the Quotient Rule of Integer Exponents to simplify 1253 ÷ 753, we subtract the exponents.

1253 ÷ 753 = 1^(253-53) = 1^200 = 1
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Responses

Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.

Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.

Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.

Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
The correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents are:

1. Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise).
2. Write the resulting expression in exponential form.
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