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# what is an equivalent expression for for 9 to 4th power times 9 to 6th power times 9 to 13th power?

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- ?Lv 711 months ago
9 to 4th power times 9 to 6th power times 9 to 13th power =

9⁴ • 9⁶ • 9¹³ = 9⁴⁺⁶⁺¹³

..................= 9²³

BUT we also know that 9 = 3², so another equivalent expression is

9⁴ • 9⁶ • 9¹³ = (3²)⁴ • (3²)⁶ • (3²)¹³

..................= 3⁸ • 3¹² • 3²⁶

..................= 3⁸⁺¹²⁺²⁶

..................= 3⁴⁶

Therefore,

9⁴ • 9⁶ • 9¹³ = 9²³ = 3⁴⁶.....................ANS

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- billrussell42Lv 711 months ago
9 to 4th power times 9 to 6th power times 9 to 13th power

9⁴ x 9⁶ x 9¹³ = 9²³

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