Question

#10 a) 32×2³×2⁴b)27×3⁹:3⁵c)64×16÷2⁹#11a)11⁷×11⁴b)8⁸×8×8⁷c)(1 2/5)⁸÷(1 2/5)³ СРОЧНО!​

Answer 1

№10

а) 32*2^3*2^4 = 2^5*2^3*2^4 = 2^12 или 4096

б) 27*3^9:3^5 = 3^3*3^9:3^5 = 3^7 или 2187

в) 64*16:2^9 = 2^6*2^4:2^9 = 2

№11

а) 11^7*11^4 = 11^7+4 = 11^11

б) 8^8*8*8^7 = 8^8*8^1*8^7 = 8^8+1+7 = 8^16

в) (1 2/5)⁸÷(1 2/5)³ = (1 2/5)^5 = (7/5)^5

Answer 2

Ответ:

1) 32×2³×2⁴ = 2⁵ * 2³ * 2⁴ = $2^{12}$ = 4096

2) 27×3⁹:3⁵ = $3^{7}$ = 2187

3) 64×16÷2⁹ = 2

4 )11⁷×11⁴ = $11^{11}$

5) 8⁸×8×8⁷ = $8^{16}$

6) (1+2/5)⁸÷(1+2/5)³ = (1+2/5)⁵

Answer 3

a) To solve the expression 32 × 2³ × 2⁴, we can simplify it step by step. First, let's calculate the exponents: 2³ = 2 × 2 × 2 = 8 2⁴ = 2 × 2 × 2 × 2 = 16

Now, we substitute the values back into the expression: 32 × 8 × 16 = 4096

So, 32 × 2³ × 2⁴ equals 4096.

b) For the expression 27 × 3⁹ ÷ 3⁵, we can simplify it by subtracting the exponents: 3⁹ - 3⁵ = 3⁴ = 3 × 3 × 3 × 3 = 81

Now, we substitute the value back into the expression: 27 × 81 = 2187

So, 27 × 3⁹ ÷ 3⁵ equals 2187.

c) To solve the expression 64 × 16 ÷ 2⁹, we can simplify it step by step. First, let's calculate the exponents: 2⁹ = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512

Now, we substitute the values back into the expression: 64 × 16 ÷ 512 = 1

So, 64 × 16 ÷ 2⁹ equals 1.

#11 a) To solve the expression 11⁷ × 11⁴, we can add the exponents: 11⁷ + 11⁴ = 11¹¹ = 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 = 285,311,670,611

So, 11⁷ × 11⁴ equals 285,311,670,611.

b) For the expression 8⁸ × 8 × 8⁷, we can add the exponents: 8⁸ + 8⁷ = 8¹⁵ = 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 = 35,184,372,088,832

So, 8⁸ × 8 × 8⁷ equals 35,184,372,088,832.

c) To solve the expression (1 + 2/5)⁸ ÷ (1 + 2/5)³, we can simplify it by subtracting the exponents: 8 - 3 = 5

Now, we substitute the value back into the expression: (1 + 2/5)⁵ = (7/5)⁵ = (7/5) × (7/5) × (7/5) × (7/5) × (7/5) = 16.384

So, (1 + 2/5)⁸ ÷ (1 + 2/5)³ equals 16.384.

Please let me know if there's anything else I can help you with!