AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Simplify. Express your answer using positive exponents.
Home
Math Problems
Algebra 1
Simplify exponential expressions using the multiplication and division rules
Full solution
Q. Simplify. Express your answer using positive exponents.
- Group Coefficients and Powers: Group the coefficients and powers that have the same base.\$(8j)(9j)(4j) = (8 \times 9 \times 4) \times (j \times j \times j)\)
- Calculate Coefficients: What is \(8 \times 9 \times 4\)?\(\newline\)\(8 \times 9 \times 4\)\(\newline\)\(= 72 \times 4\)\(\newline\)\(= 288\)
- Combine Powers of j: Write \(j * j * j\) as a single power of \(j\).\(\newline\)When we multiply powers with the same base, we add the exponents. Since \(j\) has an implied exponent of \(1\), we have:\(\newline\)\(j * j * j\)\(\newline\)\(= j^{(1 + 1 + 1)}\)\(\newline\)\(= j^3\)
- Write in Simplest Form: We found:\(\newline\)\(8 \times 9 \times 4 = 288\)\(\newline\)\(j \times j \times j = j^3\)\(\newline\)Write \((8j)(9j)(4j)\) in simplest form.\(\newline\)\((8j)(9j)(4j)\)\(\newline\)= \((8 \times 9 \times 4) \times (j \times j \times j)\)\(\newline\)= \(288 \times j^3\)\(\newline\)= \(288j^3\)
