Q..

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1. 23⁴⁵ × 23⁵ ÷ 23³⁰ × 23⁴ =
2. 2¹⁹ × 2³ + 2³ =

Note : Menuju 200 like Jawaban bahasa Arab ​

Q..

Q..

》Bilangan Berpangkat

1. 23^45 × 23^5 ÷ 23^30 × 23^4

= 23^( 45 + 5 – 30 + 4 )

= 23^( 50 – 30 + 4 )

= 23^( 20 + 4 )

  • = 23^24

2. 2^19 × 2^3 ÷ 2^3

= 2^( 19 + 3 – 3 )

= 2^( 22 – 3 )

  • = 2^19

Penjelasan dengan langkah-langkah:

memakai sifat sederhanakan

berikut ini sifat sifat yang harus kita ketahui

begin{gathered}begin{gathered}begin{gathered}boxed{begin{array}{c|c}underline{rm }&underline{rm Sifat-sifat~Perpangkatan}&&& \ \ &a^{0}=1&&& \ \ &rm a^{m} times {a}^{n} = {a}^{m : + : n} &&& \ \ &rm a^{m} div{a}^{n} = {a}^{m : -: n} &&& \ \ &rm (a^{m})^{n} =a^{m n}&&& \ \ &rm (atimes b)^{n} =a^{n} times b^{n} &&& \ \ &rm(adiv b)^{n} =a^{n}div b^{n}&&& \ \ &rm( a^{m}times b^{n} )^{y}=a^{m y}times b^{n y} &&& \ \ &rm ( a^{m}div b^{n} )^{y}=a^{m y}div b^{ny} &&& \ \ &rm a^{-n}=frac{1}{a^{n} } &&& \ \ &rm a^frac{x}{y} =sqrt[y]{a^x} end{array}}end{gathered}end{gathered}end{gathered}

Penyelesaian

23⁴⁵ × 23⁵ ÷ 23³⁰ × 23⁴

= 23(⁴⁵+⁵-³⁰+⁴)

= 23(⁵⁰-³⁰+⁴)

= 23(²⁰+⁴)

= 23²⁴

2¹⁹ × 2³ ÷ 2³

= 2(¹⁹+³-³)

= 2(²²-³)

= 2¹⁹