Answer:
1. 3³
2. (-5)⁴
3. 3¹⁰
4. 4⁰
Step-by-step explanation:
When multiplying exponents with the same base, you add the exponents. When dividing exponents with the same base, you subtract the exponents. When raising a number with an exponent to another power, multiply the exponents.
1. [tex]\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3[/tex]
2. [tex]\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4[/tex]
3. [tex](3^2)^5=3^{10}[/tex]
4. [tex]\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0[/tex]
