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Popular >

simplify 7^4*7^{-9}

Solution

simplify

7^{4} \cdot 7^{- 9}

Solution

\frac{1}{16807}

+1

Decimal Notation

0.00005 \dots

Solution steps

7^{4} \cdot 7^{- 9}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

7^{4} \cdot 7^{- 9} = 7^{4 - 9}

= 7^{4 - 9}

Subtract the numbers:

4 - 9 = - 5

= 7^{- 5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

7^{- 5} = \frac{1}{7 ^{5}}

= \frac{1}{7 ^{5}}

7^{5} = 16807

= \frac{1}{16807}

Popular Examples

simplify (14)/(\frac{15){5/9}}simplify

\frac{14}{\frac{15}{\frac{5}{9}}}

factor 64x^2+32x+4 factor

64 x^{2} + 32 x + 4

- 4 \geq 1 + 5 x

simplify (4)^5 simplify

(4)^{5}

(0.229)(55)+0=(0.229)(40)+(0.0452)v^2

(0.229) (55) + 0 = (0.229) (40) + (0.0452) v^{2}

Frequently Asked Questions (FAQ)

What is 7^4*7^{-9} ?
The solution to 7^4*7^{-9} is 1/16807