1) A) 2-² × 2⁴ × 2-²
= 2^(-2) + 4 + (-2)
= 2^(2 - 2)
= 2⁰
= 1
B) 5⁶ × 5-²/5²
= 5^(6 + (-2) / 5²
= 5^(6 - 2)/5²
= 5⁴/5²
= 5⁴ - ²
= 5²
= 25
2) A) √180
= √36.5
= √6².5
= 6√5
B) √750
= √25.30
= √5².30
= 5√30
3) A) √125 + √80
= √25.5 + √16.5
= √5².5 + √4².5
= 5√5 + 4√5
= 9√5
B) √63 - 3√28
= √9.7 - 3√4.7
= √3².7 - 3√2².7
= 3√7 - 3.2√7
= 3√7 - 6√7
= -3√7
4) A) 7.500.000.000
= 7,5 ÷ 1.000.000.000
= 7,5 ÷ 10⁹
= 7,5 × 10⁹
B) 0,000000000225
=> sudah di bentuk baku
1a
[tex]2 {}^{ - 2} \times 2 {}^{4} \times 2 {}^{ - 2} = 2 {}^{ - 2 + 4 - 2} = 2 {}^{0} = 1 \\ [/tex]
b
[tex] \frac{5 {}^{6} \times 5 {}^{ - 2} }{5 {}^{ - 2} } = 5 {}^{6 - 2 + 2} = 5 {}^{6} = 15.625 \\ [/tex]
2a
[tex] \sqrt{180} = \sqrt{36 \times 5} = 6 \sqrt{5} \\ [/tex]
b
[tex] \sqrt{750} = \sqrt{25 \times 30} = 5 \sqrt{30} \\ [/tex]
3a
[tex] \sqrt{125} + \sqrt{80} = 5 \sqrt{5} + 4 \sqrt{5} = 9 \sqrt{5} \\ [/tex]
b
[tex] \sqrt{63} - 3 \sqrt{28} = 3 \sqrt{7} - (3 \times 2 \sqrt{7} ) \\ = 3 \sqrt{7} - 6 \sqrt{7} \\ = - 3 \sqrt{7} [/tex]
4a
[tex]7.500.000.000 = 7.5 \times 10 {}^{9} \\ [/tex]
b
[tex]0.000000000225 = 2.25 \div 10 {}^{10} \\ [/tex]
5a
[tex]2.000.000 \times 50.000 = 10 {}^{10} \\ [/tex]
b
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