Multiply and simplify
n^-4•n
I can't figure it out. I can't seem to follow steps
Thanks.
n = n^1
so, adding exponents,
n^-4•n = n^-4 • n^1 = n^(-4+1) = n^-3
or, since n^-4 = 1/n^4,
1/n^4 • n = n/n^4 = 1/n^3
oke
To multiply and simplify the expression n^-4 • n, you can follow these steps:
1. Multiply the coefficients (numbers) together: n^-4 • n.
In this case, there are no coefficients, so we move on to the exponents.
2. Add the exponents.
In this case, the exponent of n is -4. When you multiply two terms with the same base, you add their exponents. Therefore, -4 + 1 = -3.
3. Write the simplified expression.
The simplified expression is n^-3.
So, n^-4 • n simplifies to n^-3.
If you want a more visual explanation, you can also look at it in terms of division.
The expression n^-4 can be rewritten as 1/n^4 (since a negative exponent means taking the reciprocal), so we have (1/n^4) • n. When multiplying, you can cancel out a factor if it is both in the numerator and the denominator. In this case, we can cancel out n from the numerator and the denominator, leaving us with 1/n^3, which is the same as n^-3.
I hope this helps! Let me know if you have any other questions.