%5E2-without-exponents.jpeg "(4p^4)^2 Without Exponents")
Understanding (4p^4)^2 Without Exponents
This expression involves exponents and parentheses, which can be intimidating at first. Let's break it down step-by-step to understand how to express it without exponents.
Understanding the Exponents
- (4p^4) means we are multiplying 4 by itself, and then multiplying the variable 'p' by itself 4 times. This can be written as: 4 * 4 * 4 * 4 * p * p * p * p
- ^2 means we are multiplying the entire expression inside the parentheses by itself.
Expanding the Expression
- Expanding the inner expression: (4p^4)^2 = (4 * 4 * 4 * 4 * p * p * p * p) * (4 * 4 * 4 * 4 * p * p * p * p)
- Simplifying by multiplication: = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * p * p * p * p * p * p * p * p
Expressing without exponents
Now we have a long string of multiplications. To write this without exponents, we simply need to count the number of times each factor is multiplied.
- For the number 4: It appears eight times, so we have 4 multiplied by itself eight times.
- For the variable 'p': It also appears eight times, so we have 'p' multiplied by itself eight times.
Final Result
Therefore, (4p^4)^2 expressed without exponents is:
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * p * p * p * p * p * p * p * p