Question

1) а⁵×a2)a¹⁰÷a⁷3)(x⁵)³4)(-3a)²×(3a)³помогите пожалуйста!!!!! ​

Answer 1

1)$a^{5} *a=a^{6}$

2)$\frac{a^{10} }{a^{7} } =a^{3}$

3)$(x^{5} )^{3} =x^{3*5} =x^{15}$

4)$-3^{2} a^{2} *3^{3} a^{3} =-3^{5} a^{5} =(-3a^{5} )$

Answer 2

1. To simplify the expression а⁵ × а², you need to multiply the bases (а) and add the exponents (5 + 2):

а⁵ × а² = а^(5 + 2) = а⁷

2. To simplify the expression а¹⁰ ÷ а⁷, you need to divide the bases (а) and subtract the exponents (10 - 7):

а¹⁰ ÷ а⁷ = а^(10 - 7) = а³

3. To simplify the expression (x⁵)³, you need to raise the base (x) to the power of the exponent (5) and multiply by 3:

(x⁵)³ = x^(5 × 3) = x¹⁵

4. To simplify the expression (-3а)² × (3а)³, you need to simplify each term separately and then multiply them:

(-3а)² = (-3)² × а² = 9а²

(3а)³ = (3)³ × а³ = 27а³

(-3а)² × (3а)³ = 9а² × 27а³ = 243а^(2 + 3) = 243а⁵

Therefore, (-3а)² × (3а)³ simplifies to 243а⁵.