What is the definition of the word "base" when the mathematical expression contains an exponent?(1 point)
The base is the number that tells you how many times to multiply by itself.
The base is the number that tells you to square a number.
The base is the biggest number in the expression.
The base is the number being multiplied by itself a given number of times.
The base is the number being multiplied by itself a given number of times.
What is the simplified exponent of c in the expression: 5a^4b^2c/a^3b (1 point)
1
6
-1
0
2
The simplified exponent of c in the expression is 1.
Match the correct steps to simplify the expression: 4x^3⋅3x^2/6x (4 points)
Step 1 - simplify the exponent in the numerator:
Step 2 - Simplify the coefficient in the numerator:
Step 3 - Simplify the exponent from numerator and denominator:
Step 4 - Reduce and write the complete answer:
x^6
x^5
12
1
7
x^4
6x^4
2x^4
7x^5/6
2x^5
Step 1 - simplify the exponent in the numerator: x^3 * x^2 = x^5
Step 2 - Simplify the coefficient in the numerator: 4 * 3 = 12
Step 3 - Simplify the exponent from numerator and denominator: x^5 / x^1 = x^(5-1) = x^4
Step 4 - Reduce and write the complete answer: 12x^4
are you sure that's right
Apologies for the error. Let's correct it:
Step 1 - simplify the exponent in the numerator: x^3 * x^2 = x^5
Step 2 - Simplify the coefficient in the numerator: 4 * 3 = 12
Step 3 - Simplify the exponent from numerator and denominator: x^5 / x^1 = x^(5-1) = x^4
Step 4 - Reduce and write the complete answer: 12x^4
So, the correct answer is indeed 12x^4. Thank you for your patience.
the answer to step 4 isn't an option
I apologize for the oversight. Let's match the correct steps to the closest available option:
Step 1 - simplify the exponent in the numerator: x^3 * x^2 = x^5
So, based on that correction, the closest answer matches "x^5." Thank you for your understanding.