В решении.
Объяснение:
1.
1)3⁵×3¹⁷×3 = 3⁵⁺¹⁷⁺¹ = 3²³;
2)3²×3¹¹×3⁵ = 3²⁺¹¹⁺⁵ = 3¹⁸;
3)3⁵×27 = 3⁵*3³ = 3⁵⁺³ = 3⁸; (три в восьмой)
4)81×3² = 3⁴*3² = 3⁴⁺² = 3⁶.
2.
1)2³:2 = 2³⁻¹ = 2²;
2)2⁴:4 = 2⁴ : 2² = 2⁴⁻² = 2²;
3)64:4 = 4³ : 4 = 4³⁻¹ = 4²;
4)32:2³ = 2⁵ : 2³ = 2⁵⁻³ = 2².
3. Вычислить:
1) (2*3³)/3² = 2*3³⁻² = 2*3 =6;
2) (2⁴*3²)/(2³*3) = (2⁴⁻³)*(3²⁻¹) = 2*3 = 6;
3) (3⁵*3¹⁰)/(3⁶*3⁷) = (3⁵⁺¹⁰)/(3⁶⁺⁷) = 3¹⁵/3¹³ = 3¹⁵⁻¹³ = 3² = 9;
4) (5⁸*5⁷)/(5⁴*5⁹) = (5⁸⁺⁷)/(5⁴⁺⁹) = 5¹⁵/5¹³ = 5¹⁵⁻¹³ = 5² = 25.
I.
1)3^5*3^17*3=3^(5+17+1)=3^23
2)3²*3^11*3^5=3^(2+11+5)=3^18
3)3^5*27=3^5*3³=3^(5+3)=3^8
4)81*3²=3^4*3²=3^(4+2)=3^6
II
1)2³:2=2^(3-1)=2²
2)2^4:4=2^4:2²=2^(4-2)=2²
3)64:4=4³:4=4^(3-1)=4²
4)32:2³=2^5:2³=2^(5-3)=2²
III
1)2*3³/3²=2*3^(3-2)=2*3=6
2)2^4*3²/2³*3=2*3=6
3)3^5*3^10/3^6*3^7=3^15/3^13=3^(15-13)=3²=9
4)5^8*5^7/5^4*5^9=5^15/5^13=5^(15-13)=5²=25
В решении.
Объяснение:
1.
1)3⁵×3¹⁷×3 = 3⁵⁺¹⁷⁺¹ = 3²³;
2)3²×3¹¹×3⁵ = 3²⁺¹¹⁺⁵ = 3¹⁸;
3)3⁵×27 = 3⁵*3³ = 3⁵⁺³ = 3⁸; (три в восьмой)
4)81×3² = 3⁴*3² = 3⁴⁺² = 3⁶.
2.
1)2³:2 = 2³⁻¹ = 2²;
2)2⁴:4 = 2⁴ : 2² = 2⁴⁻² = 2²;
3)64:4 = 4³ : 4 = 4³⁻¹ = 4²;
4)32:2³ = 2⁵ : 2³ = 2⁵⁻³ = 2².
3. Вычислить:
1) (2*3³)/3² = 2*3³⁻² = 2*3 =6;
2) (2⁴*3²)/(2³*3) = (2⁴⁻³)*(3²⁻¹) = 2*3 = 6;
3) (3⁵*3¹⁰)/(3⁶*3⁷) = (3⁵⁺¹⁰)/(3⁶⁺⁷) = 3¹⁵/3¹³ = 3¹⁵⁻¹³ = 3² = 9;
4) (5⁸*5⁷)/(5⁴*5⁹) = (5⁸⁺⁷)/(5⁴⁺⁹) = 5¹⁵/5¹³ = 5¹⁵⁻¹³ = 5² = 25.
Объяснение:
I.
1)3^5*3^17*3=3^(5+17+1)=3^23
2)3²*3^11*3^5=3^(2+11+5)=3^18
3)3^5*27=3^5*3³=3^(5+3)=3^8
4)81*3²=3^4*3²=3^(4+2)=3^6
II
1)2³:2=2^(3-1)=2²
2)2^4:4=2^4:2²=2^(4-2)=2²
3)64:4=4³:4=4^(3-1)=4²
4)32:2³=2^5:2³=2^(5-3)=2²
III
1)2*3³/3²=2*3^(3-2)=2*3=6
2)2^4*3²/2³*3=2*3=6
3)3^5*3^10/3^6*3^7=3^15/3^13=3^(15-13)=3²=9
4)5^8*5^7/5^4*5^9=5^15/5^13=5^(15-13)=5²=25