Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses
300
300
t300
t superscript 300 baseline
t500
t superscript 500 baseline
t4
t^400t^100 simplifies to t^(400+100) = t^500
Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses
300
300
t4
t superscript 4 baseline
t500
t superscript 500 baseline
t300
Simplify this expression using the Quotient Rule of Integer Exponents: 12 to the power of 53 รท 7 to the power of 53
Well, that expression certainly has a lot of "t"s! If we want to simplify it using the Quotient Rule of Integer Exponents, we need to subtract the exponents.
In this case, we have t^400 divided by t^100. So, subtracting the exponents, we get t^400-100, which simplifies to t^300.
So, the simplified expression is t^300.
To simplify the expression t400t100 using the Quotient Rule of Integer Exponents, we can combine the common base t and subtract the exponents.
The Quotient Rule states that for any positive integer n, tn / tn = tn-n = t^(n-n) = t^0 = 1.
So, applying this rule to t400t100, we have:
t400t100 = t^(400-100) = t^300
Therefore, the simplified expression is t^300.
To simplify the expression t^400 * t^100 using the Quotient Rule of Integer Exponents, we need to combine the two terms with the same base (t) by adding the exponents.
The Quotient Rule of Integer Exponents states that for any non-zero number a and positive integer exponents m and n, a^m / a^n = a^(m-n).
In this case, we have t^400 * t^100. Since the base (t) is the same, we can apply the Quotient Rule and subtract the exponents:
t^400 * t^100 = t^(400-100) = t^300
Therefore, the simplified expression is t^300.