Question

Спростіть вираз використовуючи правила множення і ділення степенів 1) а⁷*а⁹÷3. 2) b⁹÷b⁵÷b³. 3) m¹²÷m⁹*m. 4) p¹⁰÷p⁹*p³. ПОМОГИТЕ ПОЖАЛУЙСТА ДАЮ ВСЕ БАЛЫ СКОЛЬКО У МЕНЯ ЕСТЬ​

Answer 1

Ответ:

1) a¹⁶ ÷ 3

2) b¹

3) m³

4) p⁴

Answer 2

Simplifying Expressions using Rules of Exponents:

To simplify the given expressions using the rules of multiplication and division of exponents, we can apply the following rules:

1) a⁷ * a⁹ ÷ 3: To multiply two powers with the same base, we add their exponents. To divide powers with the same base, we subtract their exponents. Therefore, we can simplify the expression as follows: a⁷ * a⁹ ÷ 3 = a^(7+9) ÷ 3 = a^16 ÷ 3

2) b⁹ ÷ b⁵ ÷ b³: Similar to the previous expression, we can simplify this expression by subtracting the exponents when dividing powers with the same base: b⁹ ÷ b⁵ ÷ b³ = b^(9-5-3) = b¹

3) m¹² ÷ m⁹ * m: Again, we can simplify this expression by subtracting the exponents when dividing powers with the same base: m¹² ÷ m⁹ * m = m^(12-9) * m = m³ * m = m^(3+1) = m⁴

4) p¹⁰ ÷ p⁹ * p³: Similar to the previous expressions, we can simplify this expression by subtracting the exponents when dividing powers with the same base: p¹⁰ ÷ p⁹ * p³ = p^(10-9+3) = p⁴

Therefore, the simplified expressions are: 1) a⁷ * a⁹ ÷ 3 = a^16 ÷ 3 2) b⁹ ÷ b⁵ ÷ b³ = b¹ 3) m¹² ÷ m⁹ * m = m⁴ 4) p¹⁰ ÷ p⁹ * p³ = p⁴

Now, let's move on to the second part of your question.

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