Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
t4
t superscript 4 baseline
t500
t superscript 500 baseline
300
300
t^300
t300
Simplify a^67/b^34.(1 point)
a33
a superscript 33 baseline
ab33
a b superscript 33 baseline
23
23
a67b34
a33b-1
Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332.(1 point)
Responses
2333
23 superscript 33 baseline
97
97
133
1 superscript 33 baseline
23^97
1
Simplify this expression using the Quotient Rule of Integer Exponents: 1253÷753.(1 point)
Responses
12106
12 superscript 106 baseline
553
5 superscript 53 baseline
1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline
5106
12^53/7^53
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
a. 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.
b. 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.
c. Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
d. 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.
The correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents are:
b. 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.
To simplify the expression using the Quotient Rule of Integer Exponents, we need to apply the rule which states that when dividing two exponential expressions with the same base, we subtract the exponents.
Now let's simplify the given expression:
t^400 / t^100
To divide the terms, we subtract the exponents:
t^(400-100)
Simplifying further:
t^300
So, the simplified expression is t^300.