How do you rewrite #7^ { 4} \cdot 7^ { 5}# using a single exponent?

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Answer 1 · 2016-12-19T07:21:38

#7^4 xx 7^5 = 7^9#

Remember that an index or exponent shows how many of the same number (the base) are multiplied together.

#x^4 = x xx x xx x xx x#

When multiplying with indices and the bases are the same, you add the exponents.

#x^4 xx x^5 = x^9" "larr# note that the base stays the same.

It is the same if the base is a number:

#7^4 xx 7^5 = 7^9#

The actual value is a big number (#40,353,607#) but there is very little use in writing it like this.

It is of far more value just writing #7^9#