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Jika 2 x + 2 − x = 5 tentukanlah nilai dari 4 x + 4 − x .

Jika  tentukanlah nilai dari .

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nilai dari adalah .

nilai dari 4 to the power of x plus 4 to the power of negative x end exponent adalah 23.

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Sifat bilangan berpangkat: Dengan mengkuadratkan kedua ruas dan menggunakan sifat-sifat bilangan berpangkat di atas, dapat diperoleh perhitungan sebagai berikut. Jadi, nilai dari adalah .

Sifat bilangan berpangkat:

table attributes columnalign right center left columnspacing 2px end attributes row cell a to the power of m cross times a to the power of n end cell equals cell a to the power of m plus n end exponent end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m cross times n end exponent end cell row cell a to the power of 0 end cell equals cell 1 comma space a not equal to 0 end cell end table

Dengan mengkuadratkan kedua ruas dan menggunakan sifat-sifat bilangan berpangkat di atas, dapat diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 2px end attributes row cell 2 to the power of x plus 2 to the power of negative x end exponent end cell equals cell 5 space end cell row cell open parentheses 2 to the power of x plus 2 to the power of negative x end exponent close parentheses squared end cell equals cell 5 squared end cell row cell open parentheses 2 to the power of x plus 2 to the power of negative x end exponent close parentheses open parentheses 2 to the power of x plus 2 to the power of negative x end exponent close parentheses end cell equals 25 row cell 2 to the power of x times 2 to the power of x plus 2 to the power of x times 2 to the power of negative x end exponent plus 2 to the power of negative x end exponent times 2 to the power of x plus 2 to the power of negative x end exponent times 2 to the power of negative x end exponent end cell equals 25 row cell 2 to the power of x plus x end exponent plus 2 to the power of x minus x end exponent plus 2 to the power of negative x plus x end exponent plus 2 to the power of negative x minus x end exponent end cell equals 25 row cell 2 to the power of 2 x end exponent plus 2 to the power of 0 plus 2 to the power of 0 plus 2 to the power of negative 2 x end exponent end cell equals 25 row cell open parentheses 2 squared close parentheses to the power of x plus 1 plus 1 plus open parentheses 2 squared close parentheses to the power of negative x end exponent end cell equals 25 row cell 4 to the power of x plus 2 plus 4 to the power of negative x end exponent end cell equals 25 row cell 4 to the power of x plus 4 to the power of negative x end exponent end cell equals cell 25 minus 2 end cell row cell 4 to the power of x plus 4 to the power of negative x end exponent end cell equals 23 end table

Jadi, nilai dari 4 to the power of x plus 4 to the power of negative x end exponent adalah 23.

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