Question

1) (a¹⁰) ³• (a⁵)⁴2) (-a⁶)⁷ • (-a³)³ : a¹⁵3) a²⁴ : (a⁸)²•a¹³​

Answer 1

Ответ:

а⁵⁰

а³⁶

а²¹

Пошаговое объяснение:

зуташзыьущеьащсщ ол

Answer 2

Let's simplify each of these expressions step by step:

1. (a¹⁰)³ • (a⁵)⁴

To simplify this expression, you raise each term to the indicated power:

(a¹⁰)³ = a^(103) = a^30 (a⁵)⁴ = a^(54) = a^20

Now, you can multiply these simplified terms:

a^30 • a^20 = a^(30 + 20) = a^50

So, the simplified expression is a^50.

2. (-a⁶)⁷ • (-a³)³ : a¹⁵

Again, raise each term to the indicated power:

(-a⁶)⁷ = (-1)⁷ * (a⁶)⁷ = -a^42 (-a³)³ = (-1)³ * (a³)³ = -a^9

Now, divide these simplified terms by a¹⁵:

(-a^42) • (-a^9) / a^15

To simplify further, use the properties of exponents. When you multiply two terms with the same base, you add their exponents. When you divide two terms with the same base, you subtract their exponents:

(-a^42) • (-a^9) / a^15 = -a^(42 - 9 - 15)

Now, subtract the exponents:

• a^(42 - 9 - 15) = -a^18

So, the simplified expression is -a^18.

3. a²⁴ : (a⁸)² • a¹³

Raise each term to the indicated power:

a²⁴ = a^(224) = a^48 (a⁸)² = (a^8)² = a^(82) = a^16 a¹³ = a^13

Now, divide these simplified terms:

a^48 / a^16 • a^13

To simplify further, use the properties of exponents. When you divide two terms with the same base, you subtract their exponents:

a^48 / a^16 • a^13 = a^(48 - 16 + 13)

Now, subtract the exponents:

a^(48 - 16 + 13) = a^45

So, the simplified expression is a^45.