write each expression using a single exponent please help
1.a^5/a^3 2.x^9/x^5 3.c^7/c^2 4. (-1)^5/(-1)^4
a^5/a^3 = a^2
x^9/x^5 = x^4
you do the others by simply using the division rule of powers.
ok thank you
To simplify each expression using a single exponent, we can apply the exponent rules of exponents.
1. a^5 / a^3:
When dividing with the same base, subtract the exponents.
a^5 / a^3 = a^(5-3) = a^2
2. x^9 / x^5:
Again, subtract the exponents since we are dividing with the same base.
x^9 / x^5 = x^(9-5) = x^4
3. c^7 / c^2:
Subtract the exponents.
c^7 / c^2 = c^(7-2) = c^5
4. (-1)^5 / (-1)^4:
When dealing with negative exponents, remember that an even exponent will result in a positive number, while an odd exponent keeps the number negative.
(-1)^5 = -1 and (-1)^4 = 1
So, -1 / 1 = -1
Therefore, the simplified expressions using a single exponent are:
1. a^5 / a^3 = a^2
2. x^9 / x^5 = x^4
3. c^7 / c^2 = c^5
4. (-1)^5 / (-1)^4 = -1