Answer the following:1. a⁴ · a² · a =2. x² · x⁵ =3. (5x²) (-3x⁴) =4. (x²)⁴ =5. (c⁴)³ =6. (ab)³ =7. (-2x²)³ =8. (4m²n)² =9. (y⁵)² =10. (5x³y²)² =

To simplify the expression a⁴ · a² · a, we can combine the exponents by adding them together. So, a⁴ · a² · a can be written as a^(4+2+1) = a⁷.

Similarly, to simplify the expression x² · x⁵, we add the exponents together. So, x² · x⁵ can be written as x^(2+5) = x⁷.

To simplify (5x²) (-3x⁴), we multiply the coefficients and add the exponents of x. So, (5x²) (-3x⁴) can be written as -15x^(2+4) = -15x⁶.

To simplify (x²)⁴, we multiply the exponents. So, (x²)⁴ can be written as x^(2*4) = x⁸.

To simplify (c⁴)³, we multiply the exponents. So, (c⁴)³ can be written as c^(4*3) = c¹².

To simplify (ab)³, we multiply the exponents of a and b. So, (ab)³ can be written as a³b³.

To simplify (-2x²)³, we multiply the coefficient and the exponent of x. So, (-2x²)³ can be written as -8x^(2*3) = -8x⁶.

To simplify (4m²n)², we multiply the coefficients and the exponents of m and n. So, (4m²n)² can be written as 16m^(22)n^(12) = 16m⁴n².

To simplify (y⁵)², we multiply the exponent. So, (y⁵)² can be written as y^(5*2) = y¹⁰.

To simplify (5x³y²)², we multiply the coefficient and the exponents of x and y. So, (5x³y²)² can be written as 25x^(32)y^(22) = 25x⁶y⁴.