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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  • 11 months ago

    9^4 × 9^6 × 9^13

    = 9^23

  • Mike G
    Lv 7
    11 months ago

    9^(23)

    ***************************

  • Lôn
    Lv 7
    11 months ago

    9^4 x 9^6 x 9 ^13 = 9^ (4 + 6 + 13) = 9^23

  • ?
    Lv 7
    11 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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  • 11 months ago

    9 to 4th power times 9 to 6th power times 9 to 13th power

    9⁴ x 9⁶ x 9¹³ = 9²³

  • 11 months ago

    9^4 * 9^6 * 9^13 = 9^(4+6+13) = 9^23

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