My teacher never specifically told us how to do these type of problems and now i have 10 of the same type of questions for homework due when i come back to class 2 days.
a^7b^6
________
a^5b
Im not asking for the answer but the steps to get to the answers to these type of problems. My class is specifically Honors Algebra 1 (highschool) 9th grade.
to multiply, add exponents: x^3 * x^5 = x^8
to divide, subtract exponents: x^8/x^5 = x^3
this problem yields:
a^2b^5
what is (8x4)+ (5x7)+9
For this type of problem, you need to understand the concept of exponents and how to simplify expressions involving them. Here's a step-by-step guide to help you solve this problem:
Step 1: Recall the exponent rules.
In this case, we need to remember two key rules:
- When dividing powers with the same base, subtract the exponents.
- When dividing bases with the same exponent, divide the coefficients.
Step 2: Identify the bases and exponents.
In the given expression, the bases are "a" and "b," while the exponents are 7, 6, and 5.
Step 3: Simplify the coefficients.
Since the bases have the same exponents, we don't need to worry about those. We just need to simplify the coefficients. In this case, there are no coefficients other than 1, so we can skip this step.
Step 4: Apply the exponent rule for division.
For the bases, "a" is raised to the power of 7 in the numerator and 5 in the denominator. According to the exponent rule, we subtract the exponents of "a" when dividing, resulting in a^2.
Step 5: Apply the exponent rule for division (continued).
For "b," it is raised to the power of 6 in the numerator and 1 in the denominator. Applying the exponent rule, we subtract the exponents of "b" when dividing, giving us b^5.
Step 6: Put it all together.
Combine the simplified bases from steps 4 and 5, and write the final expression as a single fraction. In this case, the expression becomes (a^2b^5).
By following these steps, you can solve problems involving division of exponential expressions.