Simplify this expression using the Quotient Rule of Integer Exponents: t400t100
Simplify a67/b34.
To apply the Quotient Rule of Integer Exponents to simplify 2365 ÷ 2332, we subtract the exponents.
2365 ÷ 2332 = 2^(365-332) = 2^33
To simplify the expression t400t100 using the Quotient Rule of Integer Exponents, we can subtract the exponents.
t400t100 = t(400-100) = t^300
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
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.
To simplify the expression using the Quotient Rule of Integer Exponents, we need to subtract the exponents of the variables. The Quotient Rule states that when dividing two variables with the same base, we subtract the exponent of the divisor from the exponent of the dividend.
In this case, we have t^400 / t^100. Applying the Quotient Rule, we subtract the exponent of t in the denominator from the exponent of t in the numerator.
So, t^400 / t^100 can be simplified by subtracting the exponents:
t^(400 - 100) = t^300
Therefore, the simplified expression is t^300.