x⁹/x²

To simplify the expression x⁹/x², we can subtract the exponents:

x⁹/x² = x^9-2 = x^7

Therefore, x⁹/x² simplifies to x^7.

h^14/h^5

To simplify the expression h^14/h^5, we can use the quotient rule of exponents:

h^14/h^5 = h^(14-5) = h^9

Therefore, h^14/h^5 simplifies to h^9.

4^4/4^6

To simplify the expression 4^4/4^6, we can use the quotient rule of exponents:

4^4/4^6 = 4^(4-6) = 4^(-2)

Recall that a negative exponent indicates the reciprocal of a power. Therefore:

4^(-2) = 1/4^2 = 1/16

Thus, 4^4/4^6 simplifies to 1/16.

5^0

Any non-zero number raised to the power of zero is 1. Hence,

5^0 = 1.

7^4/7^2 ___ 49

To solve 7^4/7^2, we can use the quotient rule of exponents:

7^4/7^2 = 7^(4-2) = 7^2

So, 7^4 / 7^2 simplifies to 49 (which is 7^2).

We can write 7^4 / 7^2 = 7^2 = 49