Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses
t500
t superscript 500 baseline
300
300
t300
t superscript 300 baseline
t4
t superscript 4 baseline
t4
Simplify a67b34.(1 point)
Responses
a33
a superscript 33 baseline
23
23
a67b34
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction
ab33
a b superscript 33 baseline
a33
Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332.(1 point)
Responses
2397
23 superscript 97 baseline
97
97
133
1 superscript 33 baseline
2333
23 superscript 33 baseline
2333
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
12106
12 superscript 106 baseline
1253÷753
1253÷753
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 different; if they are, subtract the exponents of the numerator and denominator; 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.
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, 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.
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, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
To simplify the expression t^400 * t^100 using the Quotient Rule of Integer Exponents, we need to apply the rule which states that when you have the same base raised to different exponents and you are multiplying them, you can add the exponents together.
In this case, we have t^400 * t^100. Since the base (t) is the same, we can add the exponents together: 400 + 100 = 500.
Therefore, the simplified expression is t^500.